20x^2-37x-6=0

Solution for 20x^2-37x-6=0 equation:

Simplifying
20x2 + -37x + -6 = 0

Reorder the terms:
-6 + -37x + 20x2 = 0

Solving
-6 + -37x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -20x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -20x)' equal to zero and attempt to solve:

Simplifying
-3 + -20x = 0

Solving
-3 + -20x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -20x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -20x = 0 + 3
-20x = 0 + 3

Combine like terms: 0 + 3 = 3
-20x = 3

Divide each side by '-20'.
x = -0.15

Simplifying
x = -0.15
Subproblem 2
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
Solution
x = {-0.15, 2}