x(x-8)=240

Solution for x(x-8)=240 equation:

Simplifying
x(x + -8) = 240

Reorder the terms:
x(-8 + x) = 240
(-8 * x + x * x) = 240
(-8x + x2) = 240

Solving
-8x + x2 = 240

Solving for variable 'x'.

Reorder the terms:
-240 + -8x + x2 = 240 + -240

Combine like terms: 240 + -240 = 0
-240 + -8x + x2 = 0

Factor a trinomial.
(-12 + -1x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-12, 20}