15b^2+32b+12=-4

Solution for 15b^2+32b+12=-4 equation:

Simplifying
15b2 + 32b + 12 = -4

Reorder the terms:
12 + 32b + 15b2 = -4

Solving
12 + 32b + 15b2 = -4

Solving for variable 'b'.

Reorder the terms:
12 + 4 + 32b + 15b2 = -4 + 4

Combine like terms: 12 + 4 = 16
16 + 32b + 15b2 = -4 + 4

Combine like terms: -4 + 4 = 0
16 + 32b + 15b2 = 0

Factor a trinomial.
(4 + 3b)(4 + 5b) = 0

Subproblem 1
Set the factor '(4 + 3b)' equal to zero and attempt to solve:

Simplifying
4 + 3b = 0

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

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

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

Divide each side by '3'.
b = -1.333333333

Simplifying
b = -1.333333333
Subproblem 2
Set the factor '(4 + 5b)' equal to zero and attempt to solve:

Simplifying
4 + 5b = 0

Solving
4 + 5b = 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 + 5b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5b = 0 + -4
5b = 0 + -4

Combine like terms: 0 + -4 = -4
5b = -4

Divide each side by '5'.
b = -0.8

Simplifying
b = -0.8
Solution
b = {-1.333333333, -0.8}