-2x^2+28x=96

Solution for -2x^2+28x=96 equation:

Simplifying
-2x2 + 28x = 96

Reorder the terms:
28x + -2x2 = 96

Solving
28x + -2x2 = 96

Solving for variable 'x'.

Reorder the terms:
-96 + 28x + -2x2 = 96 + -96

Combine like terms: 96 + -96 = 0
-96 + 28x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + 14x + -1x2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 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 + x = 0 + 8

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

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8
Subproblem 2
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
Solution
x = {8, 6}