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Simplifying 0 = x4 + 8x3 + 16x Reorder the terms: 0 = 16x + 8x3 + x4 Solving 0 = 16x + 8x3 + x4 Solving for variable 'x'. Remove the zero: -16x + -8x3 + -1x4 = 16x + 8x3 + x4 + -16x + -8x3 + -1x4 Reorder the terms: -16x + -8x3 + -1x4 = 16x + -16x + 8x3 + -8x3 + x4 + -1x4 Combine like terms: 16x + -16x = 0 -16x + -8x3 + -1x4 = 0 + 8x3 + -8x3 + x4 + -1x4 -16x + -8x3 + -1x4 = 8x3 + -8x3 + x4 + -1x4 Combine like terms: 8x3 + -8x3 = 0 -16x + -8x3 + -1x4 = 0 + x4 + -1x4 -16x + -8x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -16x + -8x3 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(16 + 8x2 + x3) = 0 Ignore the factor -1.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 '(16 + 8x2 + x3)' equal to zero and attempt to solve: Simplifying 16 + 8x2 + x3 = 0 Solving 16 + 8x2 + 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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