4x^2-4x=-36+20x

Solution for 4x^2-4x=-36+20x equation:

Simplifying
4x2 + -4x = -36 + 20x

Reorder the terms:
-4x + 4x2 = -36 + 20x

Solving
-4x + 4x2 = -36 + 20x

Solving for variable 'x'.

Reorder the terms:
36 + -4x + -20x + 4x2 = -36 + 20x + 36 + -20x

Combine like terms: -4x + -20x = -24x
36 + -24x + 4x2 = -36 + 20x + 36 + -20x

Reorder the terms:
36 + -24x + 4x2 = -36 + 36 + 20x + -20x

Combine like terms: -36 + 36 = 0
36 + -24x + 4x2 = 0 + 20x + -20x
36 + -24x + 4x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
36 + -24x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -6x + x2) = 0

Factor a trinomial.
4((3 + -1x)(3 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}