20x^2-19x-237=0

Solution for 20x^2-19x-237=0 equation:

Simplifying
20x2 + -19x + -237 = 0

Reorder the terms:
-237 + -19x + 20x2 = 0

Solving
-237 + -19x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(79 + -20x) = 0

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(79 + -20x)' equal to zero and attempt to solve:

Simplifying
79 + -20x = 0

Solving
79 + -20x = 0

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

Add '-79' to each side of the equation.
79 + -79 + -20x = 0 + -79

Combine like terms: 79 + -79 = 0
0 + -20x = 0 + -79
-20x = 0 + -79

Combine like terms: 0 + -79 = -79
-20x = -79

Divide each side by '-20'.
x = 3.95

Simplifying
x = 3.95
Solution
x = {-3, 3.95}