4(x^4-x^2)=3(x^2+x)

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


Simplifying
4(x4 + -1x2) = 3(x2 + x)

Reorder the terms:
4(-1x2 + x4) = 3(x2 + x)
(-1x2 * 4 + x4 * 4) = 3(x2 + x)
(-4x2 + 4x4) = 3(x2 + x)

Reorder the terms:
-4x2 + 4x4 = 3(x + x2)
-4x2 + 4x4 = (x * 3 + x2 * 3)
-4x2 + 4x4 = (3x + 3x2)

Solving
-4x2 + 4x4 = 3x + 3x2

Solving for variable 'x'.

Reorder the terms:
-3x + -4x2 + -3x2 + 4x4 = 3x + 3x2 + -3x + -3x2

Combine like terms: -4x2 + -3x2 = -7x2
-3x + -7x2 + 4x4 = 3x + 3x2 + -3x + -3x2

Reorder the terms:
-3x + -7x2 + 4x4 = 3x + -3x + 3x2 + -3x2

Combine like terms: 3x + -3x = 0
-3x + -7x2 + 4x4 = 0 + 3x2 + -3x2
-3x + -7x2 + 4x4 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3x + -7x2 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + -7x + 4x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-3 + -7x + 4x3)' equal to zero and attempt to solve:

Simplifying
-3 + -7x + 4x3 = 0

Solving
-3 + -7x + 4x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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