32x^2+28x-60=0

Solution for 32x^2+28x-60=0 equation:

Simplifying
32x2 + 28x + -60 = 0

Reorder the terms:
-60 + 28x + 32x2 = 0

Solving
-60 + 28x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 7x + 8x2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-15 + -8x)' equal to zero and attempt to solve:

Simplifying
-15 + -8x = 0

Solving
-15 + -8x = 0

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

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

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

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

Divide each side by '-8'.
x = -1.875

Simplifying
x = -1.875
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-1.875, 1}