26x^2+167x-13=0

Solution for 26x^2+167x-13=0 equation:

Simplifying
26x2 + 167x + -13 = 0

Reorder the terms:
-13 + 167x + 26x2 = 0

Solving
-13 + 167x + 26x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve:

Simplifying
-13 + -2x = 0

Solving
-13 + -2x = 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 + -2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 0 + 13
-2x = 0 + 13

Combine like terms: 0 + 13 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5
Subproblem 2
Set the factor '(1 + -13x)' equal to zero and attempt to solve:

Simplifying
1 + -13x = 0

Solving
1 + -13x = 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 + -13x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -13x = 0 + -1
-13x = 0 + -1

Combine like terms: 0 + -1 = -1
-13x = -1

Divide each side by '-13'.
x = 0.07692307692

Simplifying
x = 0.07692307692
Solution
x = {-6.5, 0.07692307692}