25b^2+45b+9=-9

Solution for 25b^2+45b+9=-9 equation:

Simplifying
25b2 + 45b + 9 = -9

Reorder the terms:
9 + 45b + 25b2 = -9

Solving
9 + 45b + 25b2 = -9

Solving for variable 'b'.

Reorder the terms:
9 + 9 + 45b + 25b2 = -9 + 9

Combine like terms: 9 + 9 = 18
18 + 45b + 25b2 = -9 + 9

Combine like terms: -9 + 9 = 0
18 + 45b + 25b2 = 0

Factor a trinomial.
(6 + 5b)(3 + 5b) = 0

Subproblem 1
Set the factor '(6 + 5b)' equal to zero and attempt to solve:

Simplifying
6 + 5b = 0

Solving
6 + 5b = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5b = 0 + -6
5b = 0 + -6

Combine like terms: 0 + -6 = -6
5b = -6

Divide each side by '5'.
b = -1.2

Simplifying
b = -1.2
Subproblem 2
Set the factor '(3 + 5b)' equal to zero and attempt to solve:

Simplifying
3 + 5b = 0

Solving
3 + 5b = 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 + 5b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5b = 0 + -3
5b = 0 + -3

Combine like terms: 0 + -3 = -3
5b = -3

Divide each side by '5'.
b = -0.6

Simplifying
b = -0.6
Solution
b = {-1.2, -0.6}