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 8866/72 | Equatix

Question

$$8866/72$$

Evaluate

$\frac{4433}{36}\approx 123.138888889$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8866$

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)8866}\\\end{array}$$

Since $8$ is less than $72$, use the next digit $8$ from dividend $8866$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)8866}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $8866$

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)8866}\\\end{array}$$

Find closest multiple of $72$ to $88$. We see that $1 \times 72 = 72$ is the nearest. Now subtract $72$ from $88$ to get reminder $16$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{72)}01\phantom{4}\\72\overline{)8866}\\\phantom{72)}\underline{\phantom{}72\phantom{99}}\\\phantom{72)}16\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $8866$

$$\begin{array}{l}\phantom{72)}01\phantom{5}\\72\overline{)8866}\\\phantom{72)}\underline{\phantom{}72\phantom{99}}\\\phantom{72)}166\\\end{array}$$

Find closest multiple of $72$ to $166$. We see that $2 \times 72 = 144$ is the nearest. Now subtract $144$ from $166$ to get reminder $22$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{72)}012\phantom{6}\\72\overline{)8866}\\\phantom{72)}\underline{\phantom{}72\phantom{99}}\\\phantom{72)}166\\\phantom{72)}\underline{\phantom{}144\phantom{9}}\\\phantom{72)9}22\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $8866$

$$\begin{array}{l}\phantom{72)}012\phantom{7}\\72\overline{)8866}\\\phantom{72)}\underline{\phantom{}72\phantom{99}}\\\phantom{72)}166\\\phantom{72)}\underline{\phantom{}144\phantom{9}}\\\phantom{72)9}226\\\end{array}$$

Find closest multiple of $72$ to $226$. We see that $3 \times 72 = 216$ is the nearest. Now subtract $216$ from $226$ to get reminder $10$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{72)}0123\phantom{8}\\72\overline{)8866}\\\phantom{72)}\underline{\phantom{}72\phantom{99}}\\\phantom{72)}166\\\phantom{72)}\underline{\phantom{}144\phantom{9}}\\\phantom{72)9}226\\\phantom{72)}\underline{\phantom{9}216\phantom{}}\\\phantom{72)99}10\\\end{array}$$

Since $10$ is less than $72$, stop the division. The reminder is $10$. The topmost line $0123$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $123$.

$$\text{Quotient: }123$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{11 \cdot 13 \cdot 31}{2 ^ {2} \cdot 3 ^ {2}} = 123\frac{5}{36} = 123.13888888888889$

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Steps For Long Division Method

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