b^2=18-3b

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

Simplifying
b2 = 18 + -3b

Solving
b2 = 18 + -3b

Solving for variable 'b'.

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

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

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

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

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

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 '(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
Solution
b = {-6, 3}