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Simplifying (12 + -1x2)(x2 + 6)(x2 + -3x) = 0 Reorder the terms: (12 + -1x2)(6 + x2)(x2 + -3x) = 0 Reorder the terms: (12 + -1x2)(6 + x2)(-3x + x2) = 0 Multiply (12 + -1x2) * (6 + x2) (12(6 + x2) + -1x2 * (6 + x2))(-3x + x2) = 0 ((6 * 12 + x2 * 12) + -1x2 * (6 + x2))(-3x + x2) = 0 ((72 + 12x2) + -1x2 * (6 + x2))(-3x + x2) = 0 (72 + 12x2 + (6 * -1x2 + x2 * -1x2))(-3x + x2) = 0 (72 + 12x2 + (-6x2 + -1x4))(-3x + x2) = 0 Combine like terms: 12x2 + -6x2 = 6x2 (72 + 6x2 + -1x4)(-3x + x2) = 0 Multiply (72 + 6x2 + -1x4) * (-3x + x2) (72(-3x + x2) + 6x2 * (-3x + x2) + -1x4 * (-3x + x2)) = 0 ((-3x * 72 + x2 * 72) + 6x2 * (-3x + x2) + -1x4 * (-3x + x2)) = 0 ((-216x + 72x2) + 6x2 * (-3x + x2) + -1x4 * (-3x + x2)) = 0 (-216x + 72x2 + (-3x * 6x2 + x2 * 6x2) + -1x4 * (-3x + x2)) = 0 (-216x + 72x2 + (-18x3 + 6x4) + -1x4 * (-3x + x2)) = 0 (-216x + 72x2 + -18x3 + 6x4 + (-3x * -1x4 + x2 * -1x4)) = 0 (-216x + 72x2 + -18x3 + 6x4 + (3x5 + -1x6)) = 0 (-216x + 72x2 + -18x3 + 6x4 + 3x5 + -1x6) = 0 Solving -216x + 72x2 + -18x3 + 6x4 + 3x5 + -1x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-216 + 72x + -18x2 + 6x3 + 3x4 + -1x5) = 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 + 72x + -18x2 + 6x3 + 3x4 + -1x5)' equal to zero and attempt to solve: Simplifying -216 + 72x + -18x2 + 6x3 + 3x4 + -1x5 = 0 Solving -216 + 72x + -18x2 + 6x3 + 3x4 + -1x5 = 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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