20b^2+23b-1=-7

Solution for 20b^2+23b-1=-7 equation:

Simplifying
20b2 + 23b + -1 = -7

Reorder the terms:
-1 + 23b + 20b2 = -7

Solving
-1 + 23b + 20b2 = -7

Solving for variable 'b'.

Reorder the terms:
-1 + 7 + 23b + 20b2 = -7 + 7

Combine like terms: -1 + 7 = 6
6 + 23b + 20b2 = -7 + 7

Combine like terms: -7 + 7 = 0
6 + 23b + 20b2 = 0

Factor a trinomial.
(3 + 4b)(2 + 5b) = 0

Subproblem 1
Set the factor '(3 + 4b)' equal to zero and attempt to solve:

Simplifying
3 + 4b = 0

Solving
3 + 4b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = 0 + -3
4b = 0 + -3

Combine like terms: 0 + -3 = -3
4b = -3

Divide each side by '4'.
b = -0.75

Simplifying
b = -0.75
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 = {-0.75, -0.4}