2b^2=-36+18b

Solution for 2b^2=-36+18b equation:

Simplifying
2b2 = -36 + 18b

Solving
2b2 = -36 + 18b

Solving for variable 'b'.

Reorder the terms:
36 + -18b + 2b2 = -36 + 18b + 36 + -18b

Reorder the terms:
36 + -18b + 2b2 = -36 + 36 + 18b + -18b

Combine like terms: -36 + 36 = 0
36 + -18b + 2b2 = 0 + 18b + -18b
36 + -18b + 2b2 = 18b + -18b

Combine like terms: 18b + -18b = 0
36 + -18b + 2b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -9b + b2) = 0

Factor a trinomial.
2((3 + -1b)(6 + -1b)) = 0

Ignore the factor 2.
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 '(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
Solution
b = {3, 6}