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 182 C26 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$18 + 2 [ 4 + 8 - 3 \frac { 9 } { 4 } + 3 ( 2 + 6 + 5 ) \cdot 3 ^ { 2 } ]$$

Evaluate

$\frac{1467}{2}=733.5$

Solution Steps

To multiply powers of the same base, add their exponents. Add $1$ and $2$ to get $3$.

$$18+2\left(4+8-\frac{3\times 4+9}{4}+3^{3}\left(2+6+5\right)\right)$$

Add $4$ and $8$ to get $12$.

$$18+2\left(12-\frac{3\times 4+9}{4}+3^{3}\left(2+6+5\right)\right)$$

Multiply $3$ and $4$ to get $12$.

$$18+2\left(12-\frac{12+9}{4}+3^{3}\left(2+6+5\right)\right)$$

Add $12$ and $9$ to get $21$.

$$18+2\left(12-\frac{21}{4}+3^{3}\left(2+6+5\right)\right)$$

Convert $12$ to fraction $\frac{48}{4}$.

$$18+2\left(\frac{48}{4}-\frac{21}{4}+3^{3}\left(2+6+5\right)\right)$$

Since $\frac{48}{4}$ and $\frac{21}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$18+2\left(\frac{48-21}{4}+3^{3}\left(2+6+5\right)\right)$$

Subtract $21$ from $48$ to get $27$.

$$18+2\left(\frac{27}{4}+3^{3}\left(2+6+5\right)\right)$$

Calculate $3$ to the power of $3$ and get $27$.

$$18+2\left(\frac{27}{4}+27\left(2+6+5\right)\right)$$

Add $2$ and $6$ to get $8$.

$$18+2\left(\frac{27}{4}+27\left(8+5\right)\right)$$

Add $8$ and $5$ to get $13$.

$$18+2\left(\frac{27}{4}+27\times 13\right)$$

Multiply $27$ and $13$ to get $351$.

$$18+2\left(\frac{27}{4}+351\right)$$

Convert $351$ to fraction $\frac{1404}{4}$.

$$18+2\left(\frac{27}{4}+\frac{1404}{4}\right)$$

Since $\frac{27}{4}$ and $\frac{1404}{4}$ have the same denominator, add them by adding their numerators.

$$18+2\times \frac{27+1404}{4}$$

Add $27$ and $1404$ to get $1431$.

$$18+2\times \frac{1431}{4}$$

Express $2\times \frac{1431}{4}$ as a single fraction.

$$18+\frac{2\times 1431}{4}$$

Multiply $2$ and $1431$ to get $2862$.

$$18+\frac{2862}{4}$$

Reduce the fraction $\frac{2862}{4}$ to lowest terms by extracting and canceling out $2$.

$$18+\frac{1431}{2}$$

Convert $18$ to fraction $\frac{36}{2}$.

$$\frac{36}{2}+\frac{1431}{2}$$

Since $\frac{36}{2}$ and $\frac{1431}{2}$ have the same denominator, add them by adding their numerators.

$$\frac{36+1431}{2}$$

Add $36$ and $1431$ to get $1467$.

$$\frac{1467}{2}$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 163}{2} = 733\frac{1}{2} = 733.5$