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 1125/12 | Equatix

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Question

$$1125\div12$$

Evaluate

$\frac{375}{4}=93.75$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1125$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1125}\\\end{array}$$

Since $1$ is less than $12$, use the next digit $1$ from dividend $1125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1125}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $1125$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1125}\\\end{array}$$

Since $11$ is less than $12$, use the next digit $2$ from dividend $1125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)1125}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $1125$

$$\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)1125}\\\end{array}$$

Find closest multiple of $12$ to $112$. We see that $9 \times 12 = 108$ is the nearest. Now subtract $108$ from $112$ to get reminder $4$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{12)}009\phantom{6}\\12\overline{)1125}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}4\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $1125$

$$\begin{array}{l}\phantom{12)}009\phantom{7}\\12\overline{)1125}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}45\\\end{array}$$

Find closest multiple of $12$ to $45$. We see that $3 \times 12 = 36$ is the nearest. Now subtract $36$ from $45$ to get reminder $9$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{12)}0093\phantom{8}\\12\overline{)1125}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}45\\\phantom{12)}\underline{\phantom{99}36\phantom{}}\\\phantom{12)999}9\\\end{array}$$

Since $9$ is less than $12$, stop the division. The reminder is $9$. The topmost line $0093$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $93$.

$$\text{Quotient: }93$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{3 \cdot 5 ^ {3}}{2 ^ {2}} = 93\frac{3}{4} = 93.75$