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 2976/72 | Equatix

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Question

$$2976/72$$

Evaluate

$\frac{124}{3}\approx 41.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2976$

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)2976}\\\end{array}$$

Since $2$ is less than $72$, use the next digit $9$ from dividend $2976$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)2976}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $2976$

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)2976}\\\end{array}$$

Since $29$ is less than $72$, use the next digit $7$ from dividend $2976$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)2976}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $2976$

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)2976}\\\end{array}$$

Find closest multiple of $72$ to $297$. We see that $4 \times 72 = 288$ is the nearest. Now subtract $288$ from $297$ to get reminder $9$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{72)}004\phantom{6}\\72\overline{)2976}\\\phantom{72)}\underline{\phantom{}288\phantom{9}}\\\phantom{72)99}9\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $2976$

$$\begin{array}{l}\phantom{72)}004\phantom{7}\\72\overline{)2976}\\\phantom{72)}\underline{\phantom{}288\phantom{9}}\\\phantom{72)99}96\\\end{array}$$

Find closest multiple of $72$ to $96$. We see that $1 \times 72 = 72$ is the nearest. Now subtract $72$ from $96$ to get reminder $24$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{72)}0041\phantom{8}\\72\overline{)2976}\\\phantom{72)}\underline{\phantom{}288\phantom{9}}\\\phantom{72)99}96\\\phantom{72)}\underline{\phantom{99}72\phantom{}}\\\phantom{72)99}24\\\end{array}$$

Since $24$ is less than $72$, stop the division. The reminder is $24$. The topmost line $0041$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $41$.

$$\text{Quotient: }41$$ $$\text{Reminder: }24$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 31}{3} = 41\frac{1}{3} = 41.333333333333336$