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 13,500 | Equatix

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Question

$$x - 20 \% x = 13 , 500$$

$y=500$

Consider the first equation. Reduce the fraction $\frac{20}{100}$ to lowest terms by extracting and canceling out $20$.

$$x-\frac{1}{5}x=13$$

Combine $x$ and $-\frac{1}{5}x$ to get $\frac{4}{5}x$.

$$\frac{4}{5}x=13$$

Multiply both sides by $\frac{5}{4}$, the reciprocal of $\frac{4}{5}$.

$$x=13\times \frac{5}{4}$$

Multiply $13$ and $\frac{5}{4}$ to get $\frac{65}{4}$.

$$x=\frac{65}{4}$$

The system is now solved.

$$x=\frac{65}{4}$$ $$y=500$$