28b^2+15b-25=0

Solution for 28b^2+15b-25=0 equation:

Simplifying
28b2 + 15b + -25 = 0

Reorder the terms:
-25 + 15b + 28b2 = 0

Solving
-25 + 15b + 28b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-5 + -4b)(5 + -7b) = 0

Subproblem 1
Set the factor '(-5 + -4b)' equal to zero and attempt to solve:

Simplifying
-5 + -4b = 0

Solving
-5 + -4b = 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 + -4b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4b = 0 + 5
-4b = 0 + 5

Combine like terms: 0 + 5 = 5
-4b = 5

Divide each side by '-4'.
b = -1.25

Simplifying
b = -1.25
Subproblem 2
Set the factor '(5 + -7b)' equal to zero and attempt to solve:

Simplifying
5 + -7b = 0

Solving
5 + -7b = 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 + -7b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7b = 0 + -5
-7b = 0 + -5

Combine like terms: 0 + -5 = -5
-7b = -5

Divide each side by '-7'.
b = 0.7142857143

Simplifying
b = 0.7142857143
Solution
b = {-1.25, 0.7142857143}