4b^4+4b^3+100b^2=

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Solution for 4b^4+4b^3+100b^2= equation: 


Simplifying
4b4 + 4b3 + 100b2 = 0

Reorder the terms:
100b2 + 4b3 + 4b4 = 0

Solving
100b2 + 4b3 + 4b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b2'.
4b2(25 + b + b2) = 0

Ignore the factor 4.

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 '(25 + b + b2)' equal to zero and attempt to solve:

Simplifying
25 + b + b2 = 0

Solving
25 + b + b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + b + -25 + b2 = 0 + -25

Reorder the terms:
25 + -25 + b + b2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + b + b2 = 0 + -25
b + b2 = 0 + -25

Combine like terms: 0 + -25 = -25
b + b2 = -25

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

Add '0.25' to each side of the equation.
b + 0.25 + b2 = -25 + 0.25

Reorder the terms:
0.25 + b + b2 = -25 + 0.25

Combine like terms: -25 + 0.25 = -24.75
0.25 + b + b2 = -24.75

Factor a perfect square on the left side:
(b + 0.5)(b + 0.5) = -24.75

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}

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