# How do you solve x^2=8x?

Dec 2, 2015

${x}_{1} = 0 \mathmr{and} {x}_{2} = 8$

#### Explanation:

${x}^{2} = 8 x$
Add $8 x$ to both sides:
$\implies {x}^{2} - 8 x = 8 x - 8 x$
$\implies x \left(x - 8\right) = 0$ (factrorization)
$\implies {x}_{1} = 0 \mathmr{and} {x}_{2} = 8$
graph{x^2-8x [-40, 40, -20, 20]}

Dec 2, 2015

${x}^{2}$ simply means the value x mulitplies itself twice.
Therefore, ${x}^{2}$ is $x \cdot x$
$\frac{x \cdot x}{x}$ = $\frac{8 x}{x}$