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 7772/58 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$7772\div58$$

Evaluate

$134$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7772$

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)7772}\\\end{array}$$

Since $7$ is less than $58$, use the next digit $7$ from dividend $7772$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)7772}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $7772$

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)7772}\\\end{array}$$

Find closest multiple of $58$ to $77$. We see that $1 \times 58 = 58$ is the nearest. Now subtract $58$ from $77$ to get reminder $19$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{58)}01\phantom{4}\\58\overline{)7772}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}19\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $7772$

$$\begin{array}{l}\phantom{58)}01\phantom{5}\\58\overline{)7772}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}197\\\end{array}$$

Find closest multiple of $58$ to $197$. We see that $3 \times 58 = 174$ is the nearest. Now subtract $174$ from $197$ to get reminder $23$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{58)}013\phantom{6}\\58\overline{)7772}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}197\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}23\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $7772$

$$\begin{array}{l}\phantom{58)}013\phantom{7}\\58\overline{)7772}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}197\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}232\\\end{array}$$

Find closest multiple of $58$ to $232$. We see that $4 \times 58 = 232$ is the nearest. Now subtract $232$ from $232$ to get reminder $0$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{58)}0134\phantom{8}\\58\overline{)7772}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}197\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}232\\\phantom{58)}\underline{\phantom{9}232\phantom{}}\\\phantom{58)9999}0\\\end{array}$$

Since $0$ is less than $58$, stop the division. The reminder is $0$. The topmost line $0134$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $134$.

$$\text{Quotient: }134$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2\times 67$