14b^2-23b-15=0

Solution for 14b^2-23b-15=0 equation:

Simplifying
14b2 + -23b + -15 = 0

Reorder the terms:
-15 + -23b + 14b2 = 0

Solving
-15 + -23b + 14b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -2b)(15 + -7b) = 0

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

Simplifying
-1 + -2b = 0

Solving
-1 + -2b = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2b = 0 + 1
-2b = 0 + 1

Combine like terms: 0 + 1 = 1
-2b = 1

Divide each side by '-2'.
b = -0.5

Simplifying
b = -0.5
Subproblem 2
Set the factor '(15 + -7b)' equal to zero and attempt to solve:

Simplifying
15 + -7b = 0

Solving
15 + -7b = 0

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

Add '-15' to each side of the equation.
15 + -15 + -7b = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -7b = 0 + -15
-7b = 0 + -15

Combine like terms: 0 + -15 = -15
-7b = -15

Divide each side by '-7'.
b = 2.142857143

Simplifying
b = 2.142857143
Solution
b = {-0.5, 2.142857143}