20x^2+27x-26=0

Solution for 20x^2+27x-26=0 equation:

Simplifying
20x2 + 27x + -26 = 0

Reorder the terms:
-26 + 27x + 20x2 = 0

Solving
-26 + 27x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(13 + -20x) = 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 '(13 + -20x)' equal to zero and attempt to solve:

Simplifying
13 + -20x = 0

Solving
13 + -20x = 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 + -20x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -20x = 0 + -13
-20x = 0 + -13

Combine like terms: 0 + -13 = -13
-20x = -13

Divide each side by '-20'.
x = 0.65

Simplifying
x = 0.65
Solution
x = {-2, 0.65}