6b^2=-18b

Solution for 6b^2=-18b equation:

Simplifying
6b2 = -18b

Solving
6b2 = -18b

Solving for variable 'b'.

Reorder the terms:
18b + 6b2 = -18b + 18b

Combine like terms: -18b + 18b = 0
18b + 6b2 = 0

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

Ignore the factor 6.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 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 + b = 0 + -3

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

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

Simplifying
b = -3
Solution
b = {0, -3}