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 4325/25 | Equatix

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Question

$$4325/25$$

Evaluate

$173$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $4325$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)4325}\\\end{array}$$

Since $4$ is less than $25$, use the next digit $3$ from dividend $4325$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)4325}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $4325$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)4325}\\\end{array}$$

Find closest multiple of $25$ to $43$. We see that $1 \times 25 = 25$ is the nearest. Now subtract $25$ from $43$ to get reminder $18$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)4325}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}18\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $4325$

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)4325}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}182\\\end{array}$$

Find closest multiple of $25$ to $182$. We see that $7 \times 25 = 175$ is the nearest. Now subtract $175$ from $182$ to get reminder $7$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{25)}017\phantom{6}\\25\overline{)4325}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}182\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)99}7\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $4325$

$$\begin{array}{l}\phantom{25)}017\phantom{7}\\25\overline{)4325}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}182\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)99}75\\\end{array}$$

Find closest multiple of $25$ to $75$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $75$ to get reminder $0$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}0173\phantom{8}\\25\overline{)4325}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}182\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)99}75\\\phantom{25)}\underline{\phantom{99}75\phantom{}}\\\phantom{25)9999}0\\\end{array}$$

Since $0$ is less than $25$, stop the division. The reminder is $0$. The topmost line $0173$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $173$.

$$\text{Quotient: }173$$ $$\text{Reminder: }0$$

Show Solution

Factor