2b^2-144=12b

Solution for 2b^2-144=12b equation:

Simplifying
2b2 + -144 = 12b

Reorder the terms:
-144 + 2b2 = 12b

Solving
-144 + 2b2 = 12b

Solving for variable 'b'.

Reorder the terms:
-144 + -12b + 2b2 = 12b + -12b

Combine like terms: 12b + -12b = 0
-144 + -12b + 2b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + -6b + b2) = 0

Factor a trinomial.
2((-6 + -1b)(12 + -1b)) = 0

Ignore the factor 2.
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 '(12 + -1b)' equal to zero and attempt to solve:

Simplifying
12 + -1b = 0

Solving
12 + -1b = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1b = 0 + -12

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

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

Divide each side by '-1'.
b = 12

Simplifying
b = 12
Solution
b = {-6, 12}