25b^2+40b-8=-20

Solution for 25b^2+40b-8=-20 equation:

Simplifying
25b2 + 40b + -8 = -20

Reorder the terms:
-8 + 40b + 25b2 = -20

Solving
-8 + 40b + 25b2 = -20

Solving for variable 'b'.

Reorder the terms:
-8 + 20 + 40b + 25b2 = -20 + 20

Combine like terms: -8 + 20 = 12
12 + 40b + 25b2 = -20 + 20

Combine like terms: -20 + 20 = 0
12 + 40b + 25b2 = 0

Factor a trinomial.
(6 + 5b)(2 + 5b) = 0

Subproblem 1
Set the factor '(6 + 5b)' equal to zero and attempt to solve:

Simplifying
6 + 5b = 0

Solving
6 + 5b = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5b = 0 + -6
5b = 0 + -6

Combine like terms: 0 + -6 = -6
5b = -6

Divide each side by '5'.
b = -1.2

Simplifying
b = -1.2
Subproblem 2
Set the factor '(2 + 5b)' equal to zero and attempt to solve:

Simplifying
2 + 5b = 0

Solving
2 + 5b = 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 + 5b = 0 + -2

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

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

Divide each side by '5'.
b = -0.4

Simplifying
b = -0.4
Solution
b = {-1.2, -0.4}