13x^2+20x-12=0

Solution for 13x^2+20x-12=0 equation:

Simplifying
13x2 + 20x + -12 = 0

Reorder the terms:
-12 + 20x + 13x2 = 0

Solving
-12 + 20x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(6 + -13x) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

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

Simplifying
6 + -13x = 0

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

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

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

Divide each side by '-13'.
x = 0.4615384615

Simplifying
x = 0.4615384615
Solution
x = {-2, 0.4615384615}