4b^4-2b^3+b^2=

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

Simplifying
4b4 + -2b3 + b2 = 0

Reorder the terms:
b2 + -2b3 + 4b4 = 0

Solving
b2 + -2b3 + 4b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b2'.
b2(1 + -2b + 4b2) = 0

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 + 4b2)' equal to zero and attempt to solve:

Simplifying
1 + -2b + 4b2 = 0

Solving
1 + -2b + 4b2 = 0

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

Divide each side by '4'.
0.25 + -0.5b + b2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.5b + -0.25 + b2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.5b + b2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.5b + b2 = 0 + -0.25
-0.5b + b2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.5b + b2 = -0.25

The b term is -0.5b.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5b + 0.0625 + b2 = -0.25 + 0.0625

Reorder the terms:
0.0625 + -0.5b + b2 = -0.25 + 0.0625

Combine like terms: -0.25 + 0.0625 = -0.1875
0.0625 + -0.5b + b2 = -0.1875

Factor a perfect square on the left side:
(b + -0.25)(b + -0.25) = -0.1875

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}