(3b^4-b)(5b+b^4)=

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Solution for (3b^4-b)(5b+b^4)= equation: 


Simplifying
(3b4 + -1b)(5b + b4) = 0

Reorder the terms:
(-1b + 3b4)(5b + b4) = 0

Multiply (-1b + 3b4) * (5b + b4)
(-1b * (5b + b4) + 3b4 * (5b + b4)) = 0
((5b * -1b + b4 * -1b) + 3b4 * (5b + b4)) = 0
((-5b2 + -1b5) + 3b4 * (5b + b4)) = 0
(-5b2 + -1b5 + (5b * 3b4 + b4 * 3b4)) = 0
(-5b2 + -1b5 + (15b5 + 3b8)) = 0

Combine like terms: -1b5 + 15b5 = 14b5
(-5b2 + 14b5 + 3b8) = 0

Solving
-5b2 + 14b5 + 3b8 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b2'.
b2(-5 + 14b3 + 3b6) = 0

Factor a trinomial.
b2((-5 + -1b3)(1 + -3b3)) = 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 '(-5 + -1b3)' equal to zero and attempt to solve:

Simplifying
-5 + -1b3 = 0

Solving
-5 + -1b3 = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1b3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1b3 = 0 + 5
-1b3 = 0 + 5

Combine like terms: 0 + 5 = 5
-1b3 = 5

Divide each side by '-1'.
b3 = -5

Simplifying
b3 = -5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(1 + -3b3)' equal to zero and attempt to solve:

Simplifying
1 + -3b3 = 0

Solving
1 + -3b3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3b3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3b3 = 0 + -1
-3b3 = 0 + -1

Combine like terms: 0 + -1 = -1
-3b3 = -1

Divide each side by '-3'.
b3 = 0.3333333333

Simplifying
b3 = 0.3333333333

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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