5b^2-10b^3+25b^4=

Solution for 5b^2-10b^3+25b^4= equation:

Simplifying
5b2 + -10b3 + 25b4 = 0

Solving
5b2 + -10b3 + 25b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b2'.
5b2(1 + -2b + 5b2) = 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 '(1 + -2b + 5b2)' equal to zero and attempt to solve:

Simplifying
1 + -2b + 5b2 = 0

Solving
1 + -2b + 5b2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.2 + -0.4b + b2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.4b + -0.2 + b2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.4b + b2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.4b + b2 = 0 + -0.2
-0.4b + b2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.4b + b2 = -0.2

The b term is -0.4b.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4b + 0.04 + b2 = -0.2 + 0.04

Reorder the terms:
0.04 + -0.4b + b2 = -0.2 + 0.04

Combine like terms: -0.2 + 0.04 = -0.16
0.04 + -0.4b + b2 = -0.16

Factor a perfect square on the left side:
(b + -0.2)(b + -0.2) = -0.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}