2x^2-2x=760

Solution for 2x^2-2x=760 equation:

Simplifying
2x2 + -2x = 760

Reorder the terms:
-2x + 2x2 = 760

Solving
-2x + 2x2 = 760

Solving for variable 'x'.

Reorder the terms:
-760 + -2x + 2x2 = 760 + -760

Combine like terms: 760 + -760 = 0
-760 + -2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-380 + -1x + x2) = 0

Factor a trinomial.
2((-19 + -1x)(20 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 0 + 19
-1x = 0 + 19

Combine like terms: 0 + 19 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19
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 = {-19, 20}