3x^4+3x^3=12x^2+12x

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Solution for 3x^4+3x^3=12x^2+12x equation:


Simplifying
3x4 + 3x3 = 12x2 + 12x

Reorder the terms:
3x3 + 3x4 = 12x2 + 12x

Reorder the terms:
3x3 + 3x4 = 12x + 12x2

Solving
3x3 + 3x4 = 12x + 12x2

Solving for variable 'x'.

Reorder the terms:
-12x + -12x2 + 3x3 + 3x4 = 12x + 12x2 + -12x + -12x2

Reorder the terms:
-12x + -12x2 + 3x3 + 3x4 = 12x + -12x + 12x2 + -12x2

Combine like terms: 12x + -12x = 0
-12x + -12x2 + 3x3 + 3x4 = 0 + 12x2 + -12x2
-12x + -12x2 + 3x3 + 3x4 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-12x + -12x2 + 3x3 + 3x4 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4 + -4x + x2 + x3) = 0

Ignore the factor 3.

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 '(-4 + -4x + x2 + x3)' equal to zero and attempt to solve: Simplifying -4 + -4x + x2 + x3 = 0 Solving -4 + -4x + x2 + x3 = 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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