36x^2-72x-13=0

Solution for 36x^2-72x-13=0 equation:

Simplifying
36x2 + -72x + -13 = 0

Reorder the terms:
-13 + -72x + 36x2 = 0

Solving
-13 + -72x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -6x)(13 + -6x) = 0

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

Simplifying
-1 + -6x = 0

Solving
-1 + -6x = 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 + -6x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = 0 + 1
-6x = 0 + 1

Combine like terms: 0 + 1 = 1
-6x = 1

Divide each side by '-6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Subproblem 2
Set the factor '(13 + -6x)' equal to zero and attempt to solve:

Simplifying
13 + -6x = 0

Solving
13 + -6x = 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 + -6x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = 0 + -13
-6x = 0 + -13

Combine like terms: 0 + -13 = -13
-6x = -13

Divide each side by '-6'.
x = 2.166666667

Simplifying
x = 2.166666667
Solution
x = {-0.1666666667, 2.166666667}