88x-2x^2=968

Solution for 88x-2x^2=968 equation:

Simplifying
88x + -2x2 = 968

Solving
88x + -2x2 = 968

Solving for variable 'x'.

Reorder the terms:
-968 + 88x + -2x2 = 968 + -968

Combine like terms: 968 + -968 = 0
-968 + 88x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-484 + 44x + -1x2) = 0

Factor a trinomial.
2((-22 + x)(22 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-22 + x)' equal to zero and attempt to solve:

Simplifying
-22 + x = 0

Solving
-22 + x = 0

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

Add '22' to each side of the equation.
-22 + 22 + x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + x = 0 + 22
x = 0 + 22

Combine like terms: 0 + 22 = 22
x = 22

Simplifying
x = 22
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {22, 22}