-12-7b=b^2

Solution for -12-7b=b^2 equation:

Simplifying
-12 + -7b = b2

Solving
-12 + -7b = b2

Solving for variable 'b'.

Combine like terms: b2 + -1b2 = 0
-12 + -7b + -1b2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 7b + b2) = 0

Factor a trinomial.
-1((4 + b)(3 + b)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(4 + b)' equal to zero and attempt to solve:

Simplifying
4 + b = 0

Solving
4 + b = 0

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

Add '-4' to each side of the equation.
4 + -4 + b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + b = 0 + -4
b = 0 + -4

Combine like terms: 0 + -4 = -4
b = -4

Simplifying
b = -4
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 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 + b = 0 + -3

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

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

Simplifying
b = -3
Solution
b = {-4, -3}