=2x^2-228x

Solution for =2x^2-228x equation:

Simplifying
0 = 2x2 + -228x

Reorder the terms:
0 = -228x + 2x2

Solving
0 = -228x + 2x2

Solving for variable 'x'.
Remove the zero:
228x + -2x2 = -228x + 2x2 + 228x + -2x2

Reorder the terms:
228x + -2x2 = -228x + 228x + 2x2 + -2x2

Combine like terms: -228x + 228x = 0
228x + -2x2 = 0 + 2x2 + -2x2
228x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
228x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(114 + -1x) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(114 + -1x)' equal to zero and attempt to solve:

Simplifying
114 + -1x = 0

Solving
114 + -1x = 0

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

Add '-114' to each side of the equation.
114 + -114 + -1x = 0 + -114

Combine like terms: 114 + -114 = 0
0 + -1x = 0 + -114
-1x = 0 + -114

Combine like terms: 0 + -114 = -114
-1x = -114

Divide each side by '-1'.
x = 114

Simplifying
x = 114
Solution
x = {0, 114}