36x^2-51x+15=0

Solution for 36x^2-51x+15=0 equation:

Simplifying
36x2 + -51x + 15 = 0

Reorder the terms:
15 + -51x + 36x2 = 0

Solving
15 + -51x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -17x + 12x2) = 0

Factor a trinomial.
3((5 + -12x)(1 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(5 + -12x)' equal to zero and attempt to solve:

Simplifying
5 + -12x = 0

Solving
5 + -12x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -12x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -12x = 0 + -5
-12x = 0 + -5

Combine like terms: 0 + -5 = -5
-12x = -5

Divide each side by '-12'.
x = 0.4166666667

Simplifying
x = 0.4166666667
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {0.4166666667, 1}