60x^2-59x-20=0

Solution for 60x^2-59x-20=0 equation:

Simplifying
60x2 + -59x + -20 = 0

Reorder the terms:
-20 + -59x + 60x2 = 0

Solving
-20 + -59x + 60x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -15x)(5 + -4x) = 0

Subproblem 1
Set the factor '(-4 + -15x)' equal to zero and attempt to solve:

Simplifying
-4 + -15x = 0

Solving
-4 + -15x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -15x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -15x = 0 + 4
-15x = 0 + 4

Combine like terms: 0 + 4 = 4
-15x = 4

Divide each side by '-15'.
x = -0.2666666667

Simplifying
x = -0.2666666667
Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-0.2666666667, 1.25}