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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-3.95, 3}