b^2-7b-67=-7

Solution for b^2-7b-67=-7 equation:

Simplifying
b2 + -7b + -67 = -7

Reorder the terms:
-67 + -7b + b2 = -7

Solving
-67 + -7b + b2 = -7

Solving for variable 'b'.

Reorder the terms:
-67 + 7 + -7b + b2 = -7 + 7

Combine like terms: -67 + 7 = -60
-60 + -7b + b2 = -7 + 7

Combine like terms: -7 + 7 = 0
-60 + -7b + b2 = 0

Factor a trinomial.
(-5 + -1b)(12 + -1b) = 0

Subproblem 1
Set the factor '(-5 + -1b)' equal to zero and attempt to solve:

Simplifying
-5 + -1b = 0

Solving
-5 + -1b = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1b = 0 + 5
-1b = 0 + 5

Combine like terms: 0 + 5 = 5
-1b = 5

Divide each side by '-1'.
b = -5

Simplifying
b = -5
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 = {-5, 12}