# How do you factor and solve x^2-10x=0?

Jun 18, 2016

$x = 0 \mathmr{and} x = 10$

#### Explanation:

When working with a quadratic, check first to see if it can be factorised.

${x}^{2} - 10 x = 0 \text{ x is a common factor}$

$x \left(x - 10\right) = 0$

If two factors multiply to give 0, one of them must be equal to 0

Either $x = 0 , \text{ or } x - 10 = 0$

$\text{ If } x - 10 = 0 , \Rightarrow x = 10$

So the two possible solutions for $x$ are $x = 0 \mathmr{and} x = 10$