Question

What is the first step to get this equation
equal to ZERO?
x² - 6x = 27

Answer 1

Factor x²−6x−27 using the AC method.

(x−9)(x+3)=0

If any individual factor on the left side of the equation is equal to 0 , the entire expression will be equal to 0.

x−9=0

x+3=0

Set x−9

equal to 0 and solve for x.

x=9

Set x+3 equal to 0 and solve for x.

x=−3

The final solution is all the values that make (x−9)(x+3)=0 true.

x=9,−3

Explanation: