14b^2-45b-14=

Solution for 14b^2-45b-14= equation:

Simplifying
14b2 + -45b + -14 = 0

Reorder the terms:
-14 + -45b + 14b2 = 0

Solving
-14 + -45b + 14b2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(-2 + -7b)' equal to zero and attempt to solve:

Simplifying
-2 + -7b = 0

Solving
-2 + -7b = 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 + -7b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7b = 0 + 2
-7b = 0 + 2

Combine like terms: 0 + 2 = 2
-7b = 2

Divide each side by '-7'.
b = -0.2857142857

Simplifying
b = -0.2857142857
Subproblem 2
Set the factor '(7 + -2b)' equal to zero and attempt to solve:

Simplifying
7 + -2b = 0

Solving
7 + -2b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2b = 0 + -7
-2b = 0 + -7

Combine like terms: 0 + -7 = -7
-2b = -7

Divide each side by '-2'.
b = 3.5

Simplifying
b = 3.5
Solution
b = {-0.2857142857, 3.5}