8b-12=b^2

Solution for 8b-12=b^2 equation:

Simplifying
8b + -12 = b2

Reorder the terms:
-12 + 8b = b2

Solving
-12 + 8b = b2

Solving for variable 'b'.

Combine like terms: b2 + -1b2 = 0
-12 + 8b + -1b2 = 0

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

Subproblem 1
Set the factor '(-6 + b)' equal to zero and attempt to solve:

Simplifying
-6 + b = 0

Solving
-6 + b = 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 + b = 0 + 6

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

Combine like terms: 0 + 6 = 6
b = 6

Simplifying
b = 6
Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {6, 2}