# Can someone help me solve the following equation by factoring: x^2-15x=-54?

## I looked up the answer to this problem but I need to know how to do it.

Mar 1, 2018

Rewite the equation by transposing the 54 to the left side.
${x}^{2} - 15 x + 54 = 0$

What are the factos of 54?
$54 = 1 \cdot 54 \mathmr{and} 2 \cdot 27 \mathmr{and} 3 \cdot 18 \mathmr{and} 6 \cdot 9$

Choose one of the factors where the two numbers can add up to 15 , so that would be 6 and 9

${x}^{2} - 6 x - 9 x + 6 \cdot 9 = 0$
$x \left(x - 6\right) - 9 \left(x - 6\right) = 0$
$\left(x - 6\right) \left(x - 9\right) = 0$
So factors $x = 6 \mathmr{and} 9$