8b^2+18b+(-9)=-18

Solution for 8b^2+18b+(-9)=-18 equation:

Simplifying
8b2 + 18b + (-9) = -18
8b2 + 18b + -9 = -18

Reorder the terms:
-9 + 18b + 8b2 = -18

Solving
-9 + 18b + 8b2 = -18

Solving for variable 'b'.

Reorder the terms:
-9 + 18 + 18b + 8b2 = -18 + 18

Combine like terms: -9 + 18 = 9
9 + 18b + 8b2 = -18 + 18

Combine like terms: -18 + 18 = 0
9 + 18b + 8b2 = 0

Factor a trinomial.
(3 + 2b)(3 + 4b) = 0

Subproblem 1
Set the factor '(3 + 2b)' equal to zero and attempt to solve:

Simplifying
3 + 2b = 0

Solving
3 + 2b = 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 + 2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2b = 0 + -3
2b = 0 + -3

Combine like terms: 0 + -3 = -3
2b = -3

Divide each side by '2'.
b = -1.5

Simplifying
b = -1.5
Subproblem 2
Set the factor '(3 + 4b)' equal to zero and attempt to solve:

Simplifying
3 + 4b = 0

Solving
3 + 4b = 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 + 4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = 0 + -3
4b = 0 + -3

Combine like terms: 0 + -3 = -3
4b = -3

Divide each side by '4'.
b = -0.75

Simplifying
b = -0.75
Solution
b = {-1.5, -0.75}