b^2-63=-18b

Solution for b^2-63=-18b equation:

Simplifying
b2 + -63 = -18b

Reorder the terms:
-63 + b2 = -18b

Solving
-63 + b2 = -18b

Solving for variable 'b'.

Reorder the terms:
-63 + 18b + b2 = -18b + 18b

Combine like terms: -18b + 18b = 0
-63 + 18b + b2 = 0

Factor a trinomial.
(-21 + -1b)(3 + -1b) = 0

Subproblem 1
Set the factor '(-21 + -1b)' equal to zero and attempt to solve:

Simplifying
-21 + -1b = 0

Solving
-21 + -1b = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1b = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1b = 0 + 21
-1b = 0 + 21

Combine like terms: 0 + 21 = 21
-1b = 21

Divide each side by '-1'.
b = -21

Simplifying
b = -21
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 = {-21, 3}