3bx-5b^3=b^3+bx

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Solution for 3bx-5b^3=b^3+bx equation: 


Simplifying
3bx + -5b3 = b3 + bx

Reorder the terms:
3bx + -5b3 = bx + b3

Solving
3bx + -5b3 = bx + b3

Solving for variable 'b'.

Reorder the terms:
3bx + -1bx + -5b3 + -1b3 = bx + b3 + -1bx + -1b3

Combine like terms: 3bx + -1bx = 2bx
2bx + -5b3 + -1b3 = bx + b3 + -1bx + -1b3

Combine like terms: -5b3 + -1b3 = -6b3
2bx + -6b3 = bx + b3 + -1bx + -1b3

Reorder the terms:
2bx + -6b3 = bx + -1bx + b3 + -1b3

Combine like terms: bx + -1bx = 0
2bx + -6b3 = 0 + b3 + -1b3
2bx + -6b3 = b3 + -1b3

Combine like terms: b3 + -1b3 = 0
2bx + -6b3 = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(x + -3b2) = 0

Ignore the factor 2.

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 '(x + -3b2)' equal to zero and attempt to solve:

Simplifying
x + -3b2 = 0

Reorder the terms:
-3b2 + x = 0

Solving
-3b2 + x = 0

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

Add '-1x' to each side of the equation.
-3b2 + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-3b2 + 0 = 0 + -1x
-3b2 = 0 + -1x
Remove the zero:
-3b2 = -1x

Divide each side by '-3'.
b2 = 0.3333333333x

Simplifying
b2 = 0.3333333333x

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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