-6b^2+8b+18=3-7b^2

Solution for -6b^2+8b+18=3-7b^2 equation:

Simplifying
-6b2 + 8b + 18 = 3 + -7b2

Reorder the terms:
18 + 8b + -6b2 = 3 + -7b2

Solving
18 + 8b + -6b2 = 3 + -7b2

Solving for variable 'b'.

Reorder the terms:
18 + -3 + 8b + -6b2 + 7b2 = 3 + -7b2 + -3 + 7b2

Combine like terms: 18 + -3 = 15
15 + 8b + -6b2 + 7b2 = 3 + -7b2 + -3 + 7b2

Combine like terms: -6b2 + 7b2 = 1b2
15 + 8b + 1b2 = 3 + -7b2 + -3 + 7b2

Reorder the terms:
15 + 8b + 1b2 = 3 + -3 + -7b2 + 7b2

Combine like terms: 3 + -3 = 0
15 + 8b + 1b2 = 0 + -7b2 + 7b2
15 + 8b + 1b2 = -7b2 + 7b2

Combine like terms: -7b2 + 7b2 = 0
15 + 8b + 1b2 = 0

Factor a trinomial.
(5 + b)(3 + b) = 0

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

Simplifying
5 + b = 0

Solving
5 + b = 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 + b = 0 + -5

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

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

Simplifying
b = -5
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 = {-5, -3}