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 962/57 | Equatix

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Question

$$962/57$$

Evaluate

$\frac{962}{57}\approx 16.877192982$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $962$

$$\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)962}\\\end{array}$$

Since $9$ is less than $57$, use the next digit $6$ from dividend $962$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)962}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $962$

$$\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)962}\\\end{array}$$

Find closest multiple of $57$ to $96$. We see that $1 \times 57 = 57$ is the nearest. Now subtract $57$ from $96$ to get reminder $39$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{57)}01\phantom{4}\\57\overline{)962}\\\phantom{57)}\underline{\phantom{}57\phantom{9}}\\\phantom{57)}39\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $962$

$$\begin{array}{l}\phantom{57)}01\phantom{5}\\57\overline{)962}\\\phantom{57)}\underline{\phantom{}57\phantom{9}}\\\phantom{57)}392\\\end{array}$$

Find closest multiple of $57$ to $392$. We see that $6 \times 57 = 342$ is the nearest. Now subtract $342$ from $392$ to get reminder $50$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{57)}016\phantom{6}\\57\overline{)962}\\\phantom{57)}\underline{\phantom{}57\phantom{9}}\\\phantom{57)}392\\\phantom{57)}\underline{\phantom{}342\phantom{}}\\\phantom{57)9}50\\\end{array}$$

Since $50$ is less than $57$, stop the division. The reminder is $50$. The topmost line $016$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $16$.

$$\text{Quotient: }16$$ $$\text{Reminder: }50$$

Show Solution

Factor

$\frac{2 \cdot 13 \cdot 37}{3 \cdot 19} = 16\frac{50}{57} = 16.87719298245614$