0=4x^2-64x+156

Solution for 0=4x^2-64x+156 equation:

Simplifying
0 = 4x2 + -64x + 156

Reorder the terms:
0 = 156 + -64x + 4x2

Solving
0 = 156 + -64x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -156 = -156
-156 + 64x + -4x2 = 156 + -64x + 4x2 + -156 + 64x + -4x2

Reorder the terms:
-156 + 64x + -4x2 = 156 + -156 + -64x + 64x + 4x2 + -4x2

Combine like terms: 156 + -156 = 0
-156 + 64x + -4x2 = 0 + -64x + 64x + 4x2 + -4x2
-156 + 64x + -4x2 = -64x + 64x + 4x2 + -4x2

Combine like terms: -64x + 64x = 0
-156 + 64x + -4x2 = 0 + 4x2 + -4x2
-156 + 64x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-156 + 64x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-39 + 16x + -1x2) = 0

Factor a trinomial.
4((-13 + x)(3 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-13 + x)' equal to zero and attempt to solve:

Simplifying
-13 + x = 0

Solving
-13 + x = 0

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

Add '13' to each side of the equation.
-13 + 13 + x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + x = 0 + 13
x = 0 + 13

Combine like terms: 0 + 13 = 13
x = 13

Simplifying
x = 13
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 = {13, 3}