(X)(2X-4)=96

Solution for (X)(2X-4)=96 equation:

Simplifying
(X)(2X + -4) = 96

Reorder the terms:
X(-4 + 2X) = 96
(-4 * X + 2X * X) = 96
(-4X + 2X2) = 96

Solving
-4X + 2X2 = 96

Solving for variable 'X'.

Reorder the terms:
-96 + -4X + 2X2 = 96 + -96

Combine like terms: 96 + -96 = 0
-96 + -4X + 2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + -2X + X2) = 0

Factor a trinomial.
2((-6 + -1X)(8 + -1X)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -1X)' equal to zero and attempt to solve:

Simplifying
-6 + -1X = 0

Solving
-6 + -1X = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1X = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1X = 0 + 6
-1X = 0 + 6

Combine like terms: 0 + 6 = 6
-1X = 6

Divide each side by '-1'.
X = -6

Simplifying
X = -6
Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve:

Simplifying
8 + -1X = 0

Solving
8 + -1X = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1X = 0 + -8
-1X = 0 + -8

Combine like terms: 0 + -8 = -8
-1X = -8

Divide each side by '-1'.
X = 8

Simplifying
X = 8
Solution
X = {-6, 8}