-7b^2+8=-9b-8b^2

Solution for -7b^2+8=-9b-8b^2 equation:

Simplifying
-7b2 + 8 = -9b + -8b2

Reorder the terms:
8 + -7b2 = -9b + -8b2

Solving
8 + -7b2 = -9b + -8b2

Solving for variable 'b'.

Reorder the terms:
8 + 9b + -7b2 + 8b2 = -9b + -8b2 + 9b + 8b2

Combine like terms: -7b2 + 8b2 = 1b2
8 + 9b + 1b2 = -9b + -8b2 + 9b + 8b2

Reorder the terms:
8 + 9b + 1b2 = -9b + 9b + -8b2 + 8b2

Combine like terms: -9b + 9b = 0
8 + 9b + 1b2 = 0 + -8b2 + 8b2
8 + 9b + 1b2 = -8b2 + 8b2

Combine like terms: -8b2 + 8b2 = 0
8 + 9b + 1b2 = 0

Factor a trinomial.
(8 + b)(1 + b) = 0

Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve:

Simplifying
8 + b = 0

Solving
8 + b = 0

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

Add '-8' to each side of the equation.
8 + -8 + b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + b = 0 + -8
b = 0 + -8

Combine like terms: 0 + -8 = -8
b = -8

Simplifying
b = -8
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

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

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

Simplifying
b = -1
Solution
b = {-8, -1}