4bw^2+5bw+5b^2=

Solution for 4bw^2+5bw+5b^2= equation:

Simplifying
4bw2 + 5bw + 5b2 = 0

Reorder the terms:
5bw + 4bw2 + 5b2 = 0

Solving
5bw + 4bw2 + 5b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(5w + 4w2 + 5b) = 0

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(5w + 4w2 + 5b)' equal to zero and attempt to solve:

Simplifying
5w + 4w2 + 5b = 0

Reorder the terms:
5b + 5w + 4w2 = 0

Solving
5b + 5w + 4w2 = 0

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

Add '-5w' to each side of the equation.
5b + 5w + -5w + 4w2 = 0 + -5w

Combine like terms: 5w + -5w = 0
5b + 0 + 4w2 = 0 + -5w
5b + 4w2 = 0 + -5w
Remove the zero:
5b + 4w2 = -5w

Add '-4w2' to each side of the equation.
5b + 4w2 + -4w2 = -5w + -4w2

Combine like terms: 4w2 + -4w2 = 0
5b + 0 = -5w + -4w2
5b = -5w + -4w2

Divide each side by '5'.
b = -1w + -0.8w2

Simplifying
b = -1w + -0.8w2
Solution
b = {0, -1w + -0.8w2}