13x^2-7x-6=0

Solution for 13x^2-7x-6=0 equation:

Simplifying
13x2 + -7x + -6 = 0

Reorder the terms:
-6 + -7x + 13x2 = 0

Solving
-6 + -7x + 13x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
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 = {-0.4615384615, 1}