4b^2=-16-20b

Solution for 4b^2=-16-20b equation:

Simplifying
4b2 = -16 + -20b

Solving
4b2 = -16 + -20b

Solving for variable 'b'.

Reorder the terms:
16 + 20b + 4b2 = -16 + -20b + 16 + 20b

Reorder the terms:
16 + 20b + 4b2 = -16 + 16 + -20b + 20b

Combine like terms: -16 + 16 = 0
16 + 20b + 4b2 = 0 + -20b + 20b
16 + 20b + 4b2 = -20b + 20b

Combine like terms: -20b + 20b = 0
16 + 20b + 4b2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 5b + b2) = 0

Factor a trinomial.
4((4 + b)(1 + b)) = 0

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

Simplifying
4 + b = 0

Solving
4 + b = 0

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

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

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

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

Simplifying
b = -4
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

Add '-1' to each side of the equation.
1 + -1 + b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + b = 0 + -1
b = 0 + -1

Combine like terms: 0 + -1 = -1
b = -1

Simplifying
b = -1
Solution
b = {-4, -1}