20x^2-44x-15=0

Solution for 20x^2-44x-15=0 equation:

Simplifying
20x2 + -44x + -15 = 0

Reorder the terms:
-15 + -44x + 20x2 = 0

Solving
-15 + -44x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -10x)(5 + -2x) = 0

Subproblem 1
Set the factor '(-3 + -10x)' equal to zero and attempt to solve:

Simplifying
-3 + -10x = 0

Solving
-3 + -10x = 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 + -10x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -10x = 0 + 3
-10x = 0 + 3

Combine like terms: 0 + 3 = 3
-10x = 3

Divide each side by '-10'.
x = -0.3

Simplifying
x = -0.3
Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-0.3, 2.5}