30b^2+66b=72

Solution for 30b^2+66b=72 equation:

Simplifying
30b2 + 66b = 72

Reorder the terms:
66b + 30b2 = 72

Solving
66b + 30b2 = 72

Solving for variable 'b'.

Reorder the terms:
-72 + 66b + 30b2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + 66b + 30b2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-12 + 11b + 5b2) = 0

Factor a trinomial.
6((-3 + -1b)(4 + -5b)) = 0

Ignore the factor 6.
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 '(4 + -5b)' equal to zero and attempt to solve:

Simplifying
4 + -5b = 0

Solving
4 + -5b = 0

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

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

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

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

Divide each side by '-5'.
b = 0.8

Simplifying
b = 0.8
Solution
b = {-3, 0.8}