3b^2-18=-15b

Solution for 3b^2-18=-15b equation:

Simplifying
3b2 + -18 = -15b

Reorder the terms:
-18 + 3b2 = -15b

Solving
-18 + 3b2 = -15b

Solving for variable 'b'.

Reorder the terms:
-18 + 15b + 3b2 = -15b + 15b

Combine like terms: -15b + 15b = 0
-18 + 15b + 3b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 5b + b2) = 0

Factor a trinomial.
3((-6 + -1b)(1 + -1b)) = 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 '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

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

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

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

Simplifying
b = 1
Solution
b = {-6, 1}