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Simplifying x4 + -6x3 = 36x2 + -216x Reorder the terms: -6x3 + x4 = 36x2 + -216x Reorder the terms: -6x3 + x4 = -216x + 36x2 Solving -6x3 + x4 = -216x + 36x2 Solving for variable 'x'. Reorder the terms: 216x + -36x2 + -6x3 + x4 = -216x + 36x2 + 216x + -36x2 Reorder the terms: 216x + -36x2 + -6x3 + x4 = -216x + 216x + 36x2 + -36x2 Combine like terms: -216x + 216x = 0 216x + -36x2 + -6x3 + x4 = 0 + 36x2 + -36x2 216x + -36x2 + -6x3 + x4 = 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 216x + -36x2 + -6x3 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(216 + -36x + -6x2 + 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 '(216 + -36x + -6x2 + x3)' equal to zero and attempt to solve: Simplifying 216 + -36x + -6x2 + x3 = 0 Solving 216 + -36x + -6x2 + 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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