(X-8)X=240

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

Simplifying
(X + -8) * X = 240

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

Reorder the terms for easier multiplication:
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}