(b^3-5b^2+b)-(-2b^3-b^2-b)=

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Solution for (b^3-5b^2+b)-(-2b^3-b^2-b)= equation: 


Simplifying
(b3 + -5b2 + b) + -1(-2b3 + -1b2 + -1b) = 0

Reorder the terms:
(b + -5b2 + b3) + -1(-2b3 + -1b2 + -1b) = 0

Remove parenthesis around (b + -5b2 + b3)
b + -5b2 + b3 + -1(-2b3 + -1b2 + -1b) = 0

Reorder the terms:
b + -5b2 + b3 + -1(-1b + -1b2 + -2b3) = 0
b + -5b2 + b3 + (-1b * -1 + -1b2 * -1 + -2b3 * -1) = 0
b + -5b2 + b3 + (1b + 1b2 + 2b3) = 0

Reorder the terms:
b + 1b + -5b2 + 1b2 + b3 + 2b3 = 0

Combine like terms: b + 1b = 2b
2b + -5b2 + 1b2 + b3 + 2b3 = 0

Combine like terms: -5b2 + 1b2 = -4b2
2b + -4b2 + b3 + 2b3 = 0

Combine like terms: b3 + 2b3 = 3b3
2b + -4b2 + 3b3 = 0

Solving
2b + -4b2 + 3b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(2 + -4b + 3b2) = 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 '(2 + -4b + 3b2)' equal to zero and attempt to solve:

Simplifying
2 + -4b + 3b2 = 0

Solving
2 + -4b + 3b2 = 0

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

Divide each side by '3'.
0.6666666667 + -1.333333333b + b2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1.333333333b + -0.6666666667 + b2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1.333333333b + b2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1.333333333b + b2 = 0 + -0.6666666667
-1.333333333b + b2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1.333333333b + b2 = -0.6666666667

The b term is -1.333333333b.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333b + 0.4444444442 + b2 = -0.6666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333b + b2 = -0.6666666667 + 0.4444444442

Combine like terms: -0.6666666667 + 0.4444444442 = -0.2222222225
0.4444444442 + -1.333333333b + b2 = -0.2222222225

Factor a perfect square on the left side:
(b + -0.6666666665)(b + -0.6666666665) = -0.2222222225

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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