0=4x^2-24x+36

Solution for 0=4x^2-24x+36 equation:

Simplifying
0 = 4x2 + -24x + 36

Reorder the terms:
0 = 36 + -24x + 4x2

Solving
0 = 36 + -24x + 4x2

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + 6x + -1x2) = 0

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

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

Simplifying
-3 + x = 0

Solving
-3 + x = 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 + x = 0 + 3

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

Combine like terms: 0 + 3 = 3
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}