20b^2+41b+16=-4

Solution for 20b^2+41b+16=-4 equation:

Simplifying
20b2 + 41b + 16 = -4

Reorder the terms:
16 + 41b + 20b2 = -4

Solving
16 + 41b + 20b2 = -4

Solving for variable 'b'.

Reorder the terms:
16 + 4 + 41b + 20b2 = -4 + 4

Combine like terms: 16 + 4 = 20
20 + 41b + 20b2 = -4 + 4

Combine like terms: -4 + 4 = 0
20 + 41b + 20b2 = 0

Factor a trinomial.
(5 + 4b)(4 + 5b) = 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 '(4 + 5b)' equal to zero and attempt to solve:

Simplifying
4 + 5b = 0

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

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

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

Divide each side by '5'.
b = -0.8

Simplifying
b = -0.8
Solution
b = {-1.25, -0.8}