9b^2-14b-8=0

Solution for 9b^2-14b-8=0 equation:

Simplifying
9b2 + -14b + -8 = 0

Reorder the terms:
-8 + -14b + 9b2 = 0

Solving
-8 + -14b + 9b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-4 + -9b)(2 + -1b) = 0

Subproblem 1
Set the factor '(-4 + -9b)' equal to zero and attempt to solve:

Simplifying
-4 + -9b = 0

Solving
-4 + -9b = 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 + -9b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9b = 0 + 4
-9b = 0 + 4

Combine like terms: 0 + 4 = 4
-9b = 4

Divide each side by '-9'.
b = -0.4444444444

Simplifying
b = -0.4444444444
Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 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 + -1b = 0 + -2

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

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

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {-0.4444444444, 2}