4b^2+4b-23=-8

Solution for 4b^2+4b-23=-8 equation:

Simplifying
4b2 + 4b + -23 = -8

Reorder the terms:
-23 + 4b + 4b2 = -8

Solving
-23 + 4b + 4b2 = -8

Solving for variable 'b'.

Reorder the terms:
-23 + 8 + 4b + 4b2 = -8 + 8

Combine like terms: -23 + 8 = -15
-15 + 4b + 4b2 = -8 + 8

Combine like terms: -8 + 8 = 0
-15 + 4b + 4b2 = 0

Factor a trinomial.
(-5 + -2b)(3 + -2b) = 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 '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 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 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Solution
b = {-2.5, 1.5}