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 3600/25 | Equatix

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Question

$$3600/25$$

Evaluate

$144$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3600$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)3600}\\\end{array}$$

Since $3$ is less than $25$, use the next digit $6$ from dividend $3600$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)3600}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $3600$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)3600}\\\end{array}$$

Find closest multiple of $25$ to $36$. We see that $1 \times 25 = 25$ is the nearest. Now subtract $25$ from $36$ to get reminder $11$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)3600}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}11\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $3600$

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)3600}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}110\\\end{array}$$

Find closest multiple of $25$ to $110$. We see that $4 \times 25 = 100$ is the nearest. Now subtract $100$ from $110$ to get reminder $10$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{25)}014\phantom{6}\\25\overline{)3600}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}110\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}10\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $3600$

$$\begin{array}{l}\phantom{25)}014\phantom{7}\\25\overline{)3600}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}110\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}100\\\end{array}$$

Find closest multiple of $25$ to $100$. We see that $4 \times 25 = 100$ is the nearest. Now subtract $100$ from $100$ to get reminder $0$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{25)}0144\phantom{8}\\25\overline{)3600}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}110\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}100\\\phantom{25)}\underline{\phantom{9}100\phantom{}}\\\phantom{25)9999}0\\\end{array}$$

Since $0$ is less than $25$, stop the division. The reminder is $0$. The topmost line $0144$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $144$.

$$\text{Quotient: }144$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2^{4}\times 3^{2}$