-3b^2+3b=-90

Solution for -3b^2+3b=-90 equation:

Simplifying
-3b2 + 3b = -90

Reorder the terms:
3b + -3b2 = -90

Solving
3b + -3b2 = -90

Solving for variable 'b'.

Reorder the terms:
90 + 3b + -3b2 = -90 + 90

Combine like terms: -90 + 90 = 0
90 + 3b + -3b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(30 + b + -1b2) = 0

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

Ignore the factor 3.
Subproblem 1
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Subproblem 2
Set the factor '(5 + b)' equal to zero and attempt to solve:

Simplifying
5 + b = 0

Solving
5 + b = 0

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

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

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

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

Simplifying
b = -5
Solution
b = {6, -5}