=14b^2-15b-9

Solution for =14b^2-15b-9 equation:

Simplifying
0 = 14b2 + -15b + -9

Reorder the terms:
0 = -9 + -15b + 14b2

Solving
0 = -9 + -15b + 14b2

Solving for variable 'b'.

Combine like terms: 0 + 9 = 9
9 + 15b + -14b2 = -9 + -15b + 14b2 + 9 + 15b + -14b2

Reorder the terms:
9 + 15b + -14b2 = -9 + 9 + -15b + 15b + 14b2 + -14b2

Combine like terms: -9 + 9 = 0
9 + 15b + -14b2 = 0 + -15b + 15b + 14b2 + -14b2
9 + 15b + -14b2 = -15b + 15b + 14b2 + -14b2

Combine like terms: -15b + 15b = 0
9 + 15b + -14b2 = 0 + 14b2 + -14b2
9 + 15b + -14b2 = 14b2 + -14b2

Combine like terms: 14b2 + -14b2 = 0
9 + 15b + -14b2 = 0

Factor a trinomial.
(3 + -2b)(3 + 7b) = 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 + 7b)' equal to zero and attempt to solve:

Simplifying
3 + 7b = 0

Solving
3 + 7b = 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 + 7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7b = 0 + -3
7b = 0 + -3

Combine like terms: 0 + -3 = -3
7b = -3

Divide each side by '7'.
b = -0.4285714286

Simplifying
b = -0.4285714286
Solution
b = {1.5, -0.4285714286}