-5(4b^3-5b)-(3b^4-b^3)=0

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Solution for -5(4b^3-5b)-(3b^4-b^3)=0 equation: 


Simplifying
-5(4b3 + -5b) + -1(3b4 + -1b3) = 0

Reorder the terms:
-5(-5b + 4b3) + -1(3b4 + -1b3) = 0
(-5b * -5 + 4b3 * -5) + -1(3b4 + -1b3) = 0
(25b + -20b3) + -1(3b4 + -1b3) = 0

Reorder the terms:
25b + -20b3 + -1(-1b3 + 3b4) = 0
25b + -20b3 + (-1b3 * -1 + 3b4 * -1) = 0
25b + -20b3 + (1b3 + -3b4) = 0

Combine like terms: -20b3 + 1b3 = -19b3
25b + -19b3 + -3b4 = 0

Solving
25b + -19b3 + -3b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(25 + -19b2 + -3b3) = 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 '(25 + -19b2 + -3b3)' equal to zero and attempt to solve:

Simplifying
25 + -19b2 + -3b3 = 0

Solving
25 + -19b2 + -3b3 = 0

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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