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Simplifying x5 + 3x4 = 8x2 + 24x Reorder the terms: 3x4 + x5 = 8x2 + 24x Reorder the terms: 3x4 + x5 = 24x + 8x2 Solving 3x4 + x5 = 24x + 8x2 Solving for variable 'x'. Reorder the terms: -24x + -8x2 + 3x4 + x5 = 24x + 8x2 + -24x + -8x2 Reorder the terms: -24x + -8x2 + 3x4 + x5 = 24x + -24x + 8x2 + -8x2 Combine like terms: 24x + -24x = 0 -24x + -8x2 + 3x4 + x5 = 0 + 8x2 + -8x2 -24x + -8x2 + 3x4 + x5 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -24x + -8x2 + 3x4 + x5 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-24 + -8x + 3x3 + x4) = 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 '(-24 + -8x + 3x3 + x4)' equal to zero and attempt to solve: Simplifying -24 + -8x + 3x3 + x4 = 0 Solving -24 + -8x + 3x3 + x4 = 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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