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 7000/40 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$7000/40$$

Evaluate

$175$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7000$

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)7000}\\\end{array}$$

Since $7$ is less than $40$, use the next digit $0$ from dividend $7000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)7000}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $7000$

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)7000}\\\end{array}$$

Find closest multiple of $40$ to $70$. We see that $1 \times 40 = 40$ is the nearest. Now subtract $40$ from $70$ to get reminder $30$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{40)}01\phantom{4}\\40\overline{)7000}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}30\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $7000$

$$\begin{array}{l}\phantom{40)}01\phantom{5}\\40\overline{)7000}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}300\\\end{array}$$

Find closest multiple of $40$ to $300$. We see that $7 \times 40 = 280$ is the nearest. Now subtract $280$ from $300$ to get reminder $20$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{40)}017\phantom{6}\\40\overline{)7000}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}300\\\phantom{40)}\underline{\phantom{}280\phantom{9}}\\\phantom{40)9}20\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $7000$

$$\begin{array}{l}\phantom{40)}017\phantom{7}\\40\overline{)7000}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}300\\\phantom{40)}\underline{\phantom{}280\phantom{9}}\\\phantom{40)9}200\\\end{array}$$

Find closest multiple of $40$ to $200$. We see that $5 \times 40 = 200$ is the nearest. Now subtract $200$ from $200$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{40)}0175\phantom{8}\\40\overline{)7000}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}300\\\phantom{40)}\underline{\phantom{}280\phantom{9}}\\\phantom{40)9}200\\\phantom{40)}\underline{\phantom{9}200\phantom{}}\\\phantom{40)9999}0\\\end{array}$$

Since $0$ is less than $40$, stop the division. The reminder is $0$. The topmost line $0175$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $175$.

$$\text{Quotient: }175$$ $$\text{Reminder: }0$$

Show Solution

Factor

$5^{2}\times 7$