5b^4+20b^3+20b^2=

Solution for 5b^4+20b^3+20b^2= equation:

Simplifying
5b4 + 20b3 + 20b2 = 0

Reorder the terms:
20b2 + 20b3 + 5b4 = 0

Solving
20b2 + 20b3 + 5b4 = 0

Solving for variable 'b'.

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

Factor a trinomial.
5b2((2 + b)(2 + b)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

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

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

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

Simplifying
b = -2
Subproblem 3
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

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

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

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

Simplifying
b = -2
Solution
b = {0, -2, -2}