0=4x^2-36x+72

Solution for 0=4x^2-36x+72 equation:

Simplifying
0 = 4x2 + -36x + 72

Reorder the terms:
0 = 72 + -36x + 4x2

Solving
0 = 72 + -36x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -72 = -72
-72 + 36x + -4x2 = 72 + -36x + 4x2 + -72 + 36x + -4x2

Reorder the terms:
-72 + 36x + -4x2 = 72 + -72 + -36x + 36x + 4x2 + -4x2

Combine like terms: 72 + -72 = 0
-72 + 36x + -4x2 = 0 + -36x + 36x + 4x2 + -4x2
-72 + 36x + -4x2 = -36x + 36x + 4x2 + -4x2

Combine like terms: -36x + 36x = 0
-72 + 36x + -4x2 = 0 + 4x2 + -4x2
-72 + 36x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-72 + 36x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-18 + 9x + -1x2) = 0

Factor a trinomial.
4((-6 + x)(3 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
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 = {6, 3}