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Simplifying 2x4 + 8x3 = 12x2 + -36x Reorder the terms: 8x3 + 2x4 = 12x2 + -36x Reorder the terms: 8x3 + 2x4 = -36x + 12x2 Solving 8x3 + 2x4 = -36x + 12x2 Solving for variable 'x'. Reorder the terms: 36x + -12x2 + 8x3 + 2x4 = -36x + 12x2 + 36x + -12x2 Reorder the terms: 36x + -12x2 + 8x3 + 2x4 = -36x + 36x + 12x2 + -12x2 Combine like terms: -36x + 36x = 0 36x + -12x2 + 8x3 + 2x4 = 0 + 12x2 + -12x2 36x + -12x2 + 8x3 + 2x4 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 36x + -12x2 + 8x3 + 2x4 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(18 + -6x + 4x2 + x3) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(18 + -6x + 4x2 + x3)' equal to zero and attempt to solve: Simplifying 18 + -6x + 4x2 + x3 = 0 Solving 18 + -6x + 4x2 + 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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