15x^2-52x-32=0

Solution for 15x^2-52x-32=0 equation:

Simplifying
15x2 + -52x + -32 = 0

Reorder the terms:
-32 + -52x + 15x2 = 0

Solving
-32 + -52x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -15x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -15x)' equal to zero and attempt to solve:

Simplifying
-8 + -15x = 0

Solving
-8 + -15x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -15x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -15x = 0 + 8
-15x = 0 + 8

Combine like terms: 0 + 8 = 8
-15x = 8

Divide each side by '-15'.
x = -0.5333333333

Simplifying
x = -0.5333333333
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.5333333333, 4}