# How do you multiply (x-2)(x-6)=-4?

Oct 21, 2017

$x = 4$

#### Explanation:

$\left(x - 2\right) \left(x - 6\right) = - 4$
Use the distributive property
$\left(x\right) \left(x\right) + \left(x\right) \left(- 6\right) + \left(- 2\right) \left(x\right) + \left(- 2\right) \left(- 6\right) = 4$
${x}^{2} - 6 x - 2 x + 12 = 4$
${x}^{2} - 8 x + 12 = 4$
Subtract $\textcolor{red}{- 4}$ to both sides
x^2 - 8x + 12 - color(red)((-4)=cancel(-4) cancelcolor(red)(-4)
${x}^{2} - 8 x + 16 = 0$
Now, we need to factorize the left side
$\left(x - 4\right) \left(x - 4\right) = 0$
Set factors equal to $0$
$x - 4 = 0 \mathmr{and} x - 4 = 0$
$x = 0 + 4$
$x = 4$