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 34028 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$340 \div 28$$

Evaluate

$\frac{85}{7}\approx 12.142857143$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $340$

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)340}\\\end{array}$$

Since $3$ is less than $28$, use the next digit $4$ from dividend $340$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)340}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $340$

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)340}\\\end{array}$$

Find closest multiple of $28$ to $34$. We see that $1 \times 28 = 28$ is the nearest. Now subtract $28$ from $34$ to get reminder $6$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)340}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}6\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $340$

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)340}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}60\\\end{array}$$

Find closest multiple of $28$ to $60$. We see that $2 \times 28 = 56$ is the nearest. Now subtract $56$ from $60$ to get reminder $4$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{28)}012\phantom{6}\\28\overline{)340}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}60\\\phantom{28)}\underline{\phantom{9}56\phantom{}}\\\phantom{28)99}4\\\end{array}$$

Since $4$ is less than $28$, stop the division. The reminder is $4$. The topmost line $012$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $12$.

$$\text{Quotient: }12$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{5 \cdot 17}{7} = 12\frac{1}{7} = 12.142857142857142$