b^2+18b-95=-7

Solution for b^2+18b-95=-7 equation:

Simplifying
b2 + 18b + -95 = -7

Reorder the terms:
-95 + 18b + b2 = -7

Solving
-95 + 18b + b2 = -7

Solving for variable 'b'.

Reorder the terms:
-95 + 7 + 18b + b2 = -7 + 7

Combine like terms: -95 + 7 = -88
-88 + 18b + b2 = -7 + 7

Combine like terms: -7 + 7 = 0
-88 + 18b + b2 = 0

Factor a trinomial.
(-22 + -1b)(4 + -1b) = 0

Subproblem 1
Set the factor '(-22 + -1b)' equal to zero and attempt to solve:

Simplifying
-22 + -1b = 0

Solving
-22 + -1b = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1b = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1b = 0 + 22
-1b = 0 + 22

Combine like terms: 0 + 22 = 22
-1b = 22

Divide each side by '-1'.
b = -22

Simplifying
b = -22
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-22, 4}