0=36x^2-112x+12

Solution for 0=36x^2-112x+12 equation:

Simplifying
0 = 36x2 + -112x + 12

Reorder the terms:
0 = 12 + -112x + 36x2

Solving
0 = 12 + -112x + 36x2

Solving for variable 'x'.

Combine like terms: 0 + -12 = -12
-12 + 112x + -36x2 = 12 + -112x + 36x2 + -12 + 112x + -36x2

Reorder the terms:
-12 + 112x + -36x2 = 12 + -12 + -112x + 112x + 36x2 + -36x2

Combine like terms: 12 + -12 = 0
-12 + 112x + -36x2 = 0 + -112x + 112x + 36x2 + -36x2
-12 + 112x + -36x2 = -112x + 112x + 36x2 + -36x2

Combine like terms: -112x + 112x = 0
-12 + 112x + -36x2 = 0 + 36x2 + -36x2
-12 + 112x + -36x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-12 + 112x + -36x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 28x + -9x2) = 0

Factor a trinomial.
4((-3 + x)(1 + -9x)) = 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 '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111
Solution
x = {3, 0.1111111111}