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 127628 | Equatix

Question

$$\frac { 7628 } { 12 }$$

Evaluate

$\frac{1907}{3}\approx 635.666666667$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7628$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)7628}\\\end{array}$$

Since $7$ is less than $12$, use the next digit $6$ from dividend $7628$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)7628}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $7628$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)7628}\\\end{array}$$

Find closest multiple of $12$ to $76$. We see that $6 \times 12 = 72$ is the nearest. Now subtract $72$ from $76$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{12)}06\phantom{4}\\12\overline{)7628}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}4\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $7628$

$$\begin{array}{l}\phantom{12)}06\phantom{5}\\12\overline{)7628}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}42\\\end{array}$$

Find closest multiple of $12$ to $42$. We see that $3 \times 12 = 36$ is the nearest. Now subtract $36$ from $42$ to get reminder $6$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{12)}063\phantom{6}\\12\overline{)7628}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}42\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}6\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $7628$

$$\begin{array}{l}\phantom{12)}063\phantom{7}\\12\overline{)7628}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}42\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}68\\\end{array}$$

Find closest multiple of $12$ to $68$. We see that $5 \times 12 = 60$ is the nearest. Now subtract $60$ from $68$ to get reminder $8$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{12)}0635\phantom{8}\\12\overline{)7628}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}42\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}68\\\phantom{12)}\underline{\phantom{99}60\phantom{}}\\\phantom{12)999}8\\\end{array}$$

Since $8$ is less than $12$, stop the division. The reminder is $8$. The topmost line $0635$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $635$.

$$\text{Quotient: }635$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{1907}{3} = 635\frac{2}{3} = 635.6666666666666$

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Steps For Long Division Method

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