14b^2+19b-40=0

Solution for 14b^2+19b-40=0 equation:

Simplifying
14b2 + 19b + -40 = 0

Reorder the terms:
-40 + 19b + 14b2 = 0

Solving
-40 + 19b + 14b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-5 + -2b)(8 + -7b) = 0

Subproblem 1
Set the factor '(-5 + -2b)' equal to zero and attempt to solve:

Simplifying
-5 + -2b = 0

Solving
-5 + -2b = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2b = 0 + 5
-2b = 0 + 5

Combine like terms: 0 + 5 = 5
-2b = 5

Divide each side by '-2'.
b = -2.5

Simplifying
b = -2.5
Subproblem 2
Set the factor '(8 + -7b)' equal to zero and attempt to solve:

Simplifying
8 + -7b = 0

Solving
8 + -7b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7b = 0 + -8
-7b = 0 + -8

Combine like terms: 0 + -8 = -8
-7b = -8

Divide each side by '-7'.
b = 1.142857143

Simplifying
b = 1.142857143
Solution
b = {-2.5, 1.142857143}