# How do you multiply (x-2)(x+6)=5x?

Aug 28, 2016

$\left\{4 , - 3\right\}$ is the solution set.

#### Explanation:

Start by multiplying out:

$\implies {x}^{2} - 2 x + 6 x - 12 = 5 x$

Start simplifying:

$\implies {x}^{2} + 4 x - 12 = 5 x$

$\implies {x}^{2} - x - 12 = 0$

Solve by factoring:

$\implies \left(x - 4\right) \left(x + 3\right) = 0$

$\implies x = 4 \mathmr{and} - 3$

If you check in the original equation, you will find that both values of $x$ work. Hence, our solution set is $\left\{4 , - 3\right\}$.

Hopefully this helps!