6b^2-6b=252

Solution for 6b^2-6b=252 equation:

Simplifying
6b2 + -6b = 252

Reorder the terms:
-6b + 6b2 = 252

Solving
-6b + 6b2 = 252

Solving for variable 'b'.

Reorder the terms:
-252 + -6b + 6b2 = 252 + -252

Combine like terms: 252 + -252 = 0
-252 + -6b + 6b2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-42 + -1b + b2) = 0

Factor a trinomial.
6((-6 + -1b)(7 + -1b)) = 0

Ignore the factor 6.
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 '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {-6, 7}