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 2900/25 | Equatix

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Question

$$\frac{2900}{25}$$

Evaluate

$116$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2900$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)2900}\\\end{array}$$

Since $2$ is less than $25$, use the next digit $9$ from dividend $2900$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)2900}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $2900$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)2900}\\\end{array}$$

Find closest multiple of $25$ to $29$. We see that $1 \times 25 = 25$ is the nearest. Now subtract $25$ from $29$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)2900}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}4\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $2900$

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)2900}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}40\\\end{array}$$

Find closest multiple of $25$ to $40$. We see that $1 \times 25 = 25$ is the nearest. Now subtract $25$ from $40$ to get reminder $15$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{25)}011\phantom{6}\\25\overline{)2900}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}40\\\phantom{25)}\underline{\phantom{9}25\phantom{9}}\\\phantom{25)9}15\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $2900$

$$\begin{array}{l}\phantom{25)}011\phantom{7}\\25\overline{)2900}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}40\\\phantom{25)}\underline{\phantom{9}25\phantom{9}}\\\phantom{25)9}150\\\end{array}$$

Find closest multiple of $25$ to $150$. We see that $6 \times 25 = 150$ is the nearest. Now subtract $150$ from $150$ to get reminder $0$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{25)}0116\phantom{8}\\25\overline{)2900}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}40\\\phantom{25)}\underline{\phantom{9}25\phantom{9}}\\\phantom{25)9}150\\\phantom{25)}\underline{\phantom{9}150\phantom{}}\\\phantom{25)9999}0\\\end{array}$$

Since $0$ is less than $25$, stop the division. The reminder is $0$. The topmost line $0116$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $116$.

$$\text{Quotient: }116$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2^{2}\times 29$