3x+b^2=3x-b^4

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Solution for 3x+b^2=3x-b^4 equation: 


Simplifying
3x + b2 = 3x + -1b4

Reorder the terms:
b2 + 3x = 3x + -1b4

Reorder the terms:
b2 + 3x = -1b4 + 3x

Add '-3x' to each side of the equation.
b2 + 3x + -3x = -1b4 + 3x + -3x

Combine like terms: 3x + -3x = 0
b2 + 0 = -1b4 + 3x + -3x
b2 = -1b4 + 3x + -3x

Combine like terms: 3x + -3x = 0
b2 = -1b4 + 0
b2 = -1b4

Solving
b2 = -1b4

Solving for variable 'b'.

Combine like terms: -1b4 + b4 = 0
b2 + b4 = 0

Factor out the Greatest Common Factor (GCF), 'b2'.
b2(1 + b2) = 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 '(1 + b2)' equal to zero and attempt to solve:

Simplifying
1 + b2 = 0

Solving
1 + b2 = 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 + b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + b2 = 0 + -1
b2 = 0 + -1

Combine like terms: 0 + -1 = -1
b2 = -1

Simplifying
b2 = -1

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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