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Simplifying x4 + 3x3 = 4x2 + 12x Reorder the terms: 3x3 + x4 = 4x2 + 12x Reorder the terms: 3x3 + x4 = 12x + 4x2 Solving 3x3 + x4 = 12x + 4x2 Solving for variable 'x'. Reorder the terms: -12x + -4x2 + 3x3 + x4 = 12x + 4x2 + -12x + -4x2 Reorder the terms: -12x + -4x2 + 3x3 + x4 = 12x + -12x + 4x2 + -4x2 Combine like terms: 12x + -12x = 0 -12x + -4x2 + 3x3 + x4 = 0 + 4x2 + -4x2 -12x + -4x2 + 3x3 + x4 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -12x + -4x2 + 3x3 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + -4x + 3x2 + x3) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-12 + -4x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -12 + -4x + 3x2 + x3 = 0 Solving -12 + -4x + 3x2 + 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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