96=2x^2-4x

Solution for 96=2x^2-4x equation:

Simplifying
96 = 2x2 + -4x

Reorder the terms:
96 = -4x + 2x2

Solving
96 = -4x + 2x2

Solving for variable 'x'.

Reorder the terms:
96 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
96 + 4x + -2x2 = 0 + 2x2 + -2x2
96 + 4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
96 + 4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(48 + 2x + -1x2) = 0

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

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

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

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