1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 25 | Equatix - Math Solver

Use the $1^{st}$ digit $5$ from dividend $590428$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)590428}\\\end{array}$$

Since $5$ is less than $25$, use the next digit $9$ from dividend $590428$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)590428}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $590428$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)590428}\\\end{array}$$

Find closest multiple of $25$ to $59$. We see that $2 \times 25 = 50$ is the nearest. Now subtract $50$ from $59$ to get reminder $9$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}9\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $590428$

$$\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}90\\\end{array}$$

Find closest multiple of $25$ to $90$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $90$ to get reminder $15$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}023\phantom{6}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{999}}\\\phantom{25)9}15\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $590428$

$$\begin{array}{l}\phantom{25)}023\phantom{7}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{999}}\\\phantom{25)9}154\\\end{array}$$

Find closest multiple of $25$ to $154$. We see that $6 \times 25 = 150$ is the nearest. Now subtract $150$ from $154$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{25)}0236\phantom{8}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{999}}\\\phantom{25)9}154\\\phantom{25)}\underline{\phantom{9}150\phantom{99}}\\\phantom{25)999}4\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $590428$

$$\begin{array}{l}\phantom{25)}0236\phantom{9}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{999}}\\\phantom{25)9}154\\\phantom{25)}\underline{\phantom{9}150\phantom{99}}\\\phantom{25)999}42\\\end{array}$$

Find closest multiple of $25$ to $42$. We see that $1 \times 25 = 25$ is the nearest. Now subtract $25$ from $42$ to get reminder $17$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{25)}02361\phantom{10}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{999}}\\\phantom{25)9}154\\\phantom{25)}\underline{\phantom{9}150\phantom{99}}\\\phantom{25)999}42\\\phantom{25)}\underline{\phantom{999}25\phantom{9}}\\\phantom{25)999}17\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $590428$

$$\begin{array}{l}\phantom{25)}02361\phantom{11}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{999}}\\\phantom{25)9}154\\\phantom{25)}\underline{\phantom{9}150\phantom{99}}\\\phantom{25)999}42\\\phantom{25)}\underline{\phantom{999}25\phantom{9}}\\\phantom{25)999}178\\\end{array}$$

Find closest multiple of $25$ to $178$. We see that $7 \times 25 = 175$ is the nearest. Now subtract $175$ from $178$ to get reminder $3$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{25)}023617\phantom{12}\\25\overline{)590428}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{999}}\\\phantom{25)9}154\\\phantom{25)}\underline{\phantom{9}150\phantom{99}}\\\phantom{25)999}42\\\phantom{25)}\underline{\phantom{999}25\phantom{9}}\\\phantom{25)999}178\\\phantom{25)}\underline{\phantom{999}175\phantom{}}\\\phantom{25)99999}3\\\end{array}$$

Since $3$ is less than $25$, stop the division. The reminder is $3$. The topmost line $023617$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $23617$.

$$\text{Quotient: }23617$$ $$\text{Reminder: }3$$

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