15b^2+22b-6=-14

Solution for 15b^2+22b-6=-14 equation:

Simplifying
15b2 + 22b + -6 = -14

Reorder the terms:
-6 + 22b + 15b2 = -14

Solving
-6 + 22b + 15b2 = -14

Solving for variable 'b'.

Reorder the terms:
-6 + 14 + 22b + 15b2 = -14 + 14

Combine like terms: -6 + 14 = 8
8 + 22b + 15b2 = -14 + 14

Combine like terms: -14 + 14 = 0
8 + 22b + 15b2 = 0

Factor a trinomial.
(4 + 5b)(2 + 3b) = 0

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

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3b = 0 + -2

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

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

Divide each side by '3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Solution
b = {-0.8, -0.6666666667}