0=32b^2-72b-72

Solution for 0=32b^2-72b-72 equation:

Simplifying
0 = 32b2 + -72b + -72

Reorder the terms:
0 = -72 + -72b + 32b2

Solving
0 = -72 + -72b + 32b2

Solving for variable 'b'.

Combine like terms: 0 + 72 = 72
72 + 72b + -32b2 = -72 + -72b + 32b2 + 72 + 72b + -32b2

Reorder the terms:
72 + 72b + -32b2 = -72 + 72 + -72b + 72b + 32b2 + -32b2

Combine like terms: -72 + 72 = 0
72 + 72b + -32b2 = 0 + -72b + 72b + 32b2 + -32b2
72 + 72b + -32b2 = -72b + 72b + 32b2 + -32b2

Combine like terms: -72b + 72b = 0
72 + 72b + -32b2 = 0 + 32b2 + -32b2
72 + 72b + -32b2 = 32b2 + -32b2

Combine like terms: 32b2 + -32b2 = 0
72 + 72b + -32b2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + 9b + -4b2) = 0

Factor a trinomial.
8((3 + -1b)(3 + 4b)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Subproblem 2
Set the factor '(3 + 4b)' equal to zero and attempt to solve:

Simplifying
3 + 4b = 0

Solving
3 + 4b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = 0 + -3
4b = 0 + -3

Combine like terms: 0 + -3 = -3
4b = -3

Divide each side by '4'.
b = -0.75

Simplifying
b = -0.75
Solution
b = {3, -0.75}