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 147890 | Equatix

Question

$$\frac { 7890 } { 14 }$$

Evaluate

$\frac{3945}{7}\approx 563.571428571$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7890$

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)7890}\\\end{array}$$

Since $7$ is less than $14$, use the next digit $8$ from dividend $7890$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)7890}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $7890$

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)7890}\\\end{array}$$

Find closest multiple of $14$ to $78$. We see that $5 \times 14 = 70$ is the nearest. Now subtract $70$ from $78$ to get reminder $8$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{14)}05\phantom{4}\\14\overline{)7890}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}8\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $7890$

$$\begin{array}{l}\phantom{14)}05\phantom{5}\\14\overline{)7890}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}89\\\end{array}$$

Find closest multiple of $14$ to $89$. We see that $6 \times 14 = 84$ is the nearest. Now subtract $84$ from $89$ to get reminder $5$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{14)}056\phantom{6}\\14\overline{)7890}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}89\\\phantom{14)}\underline{\phantom{9}84\phantom{9}}\\\phantom{14)99}5\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $7890$

$$\begin{array}{l}\phantom{14)}056\phantom{7}\\14\overline{)7890}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}89\\\phantom{14)}\underline{\phantom{9}84\phantom{9}}\\\phantom{14)99}50\\\end{array}$$

Find closest multiple of $14$ to $50$. We see that $3 \times 14 = 42$ is the nearest. Now subtract $42$ from $50$ to get reminder $8$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{14)}0563\phantom{8}\\14\overline{)7890}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}89\\\phantom{14)}\underline{\phantom{9}84\phantom{9}}\\\phantom{14)99}50\\\phantom{14)}\underline{\phantom{99}42\phantom{}}\\\phantom{14)999}8\\\end{array}$$

Since $8$ is less than $14$, stop the division. The reminder is $8$. The topmost line $0563$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $563$.

$$\text{Quotient: }563$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{3 \cdot 5 \cdot 263}{7} = 563\frac{4}{7} = 563.5714285714286$

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Steps For Long Division Method

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