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Simplifying x4 + -9x3 = 81x2 + -729x Reorder the terms: -9x3 + x4 = 81x2 + -729x Reorder the terms: -9x3 + x4 = -729x + 81x2 Solving -9x3 + x4 = -729x + 81x2 Solving for variable 'x'. Reorder the terms: 729x + -81x2 + -9x3 + x4 = -729x + 81x2 + 729x + -81x2 Reorder the terms: 729x + -81x2 + -9x3 + x4 = -729x + 729x + 81x2 + -81x2 Combine like terms: -729x + 729x = 0 729x + -81x2 + -9x3 + x4 = 0 + 81x2 + -81x2 729x + -81x2 + -9x3 + x4 = 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 729x + -81x2 + -9x3 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(729 + -81x + -9x2 + 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 '(729 + -81x + -9x2 + x3)' equal to zero and attempt to solve: Simplifying 729 + -81x + -9x2 + x3 = 0 Solving 729 + -81x + -9x2 + 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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