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Simplifying 0 = -1x4 + -3x3 + 6x2 + 8x Reorder the terms: 0 = 8x + 6x2 + -3x3 + -1x4 Solving 0 = 8x + 6x2 + -3x3 + -1x4 Solving for variable 'x'. Remove the zero: -8x + -6x2 + 3x3 + x4 = 8x + 6x2 + -3x3 + -1x4 + -8x + -6x2 + 3x3 + x4 Reorder the terms: -8x + -6x2 + 3x3 + x4 = 8x + -8x + 6x2 + -6x2 + -3x3 + 3x3 + -1x4 + x4 Combine like terms: 8x + -8x = 0 -8x + -6x2 + 3x3 + x4 = 0 + 6x2 + -6x2 + -3x3 + 3x3 + -1x4 + x4 -8x + -6x2 + 3x3 + x4 = 6x2 + -6x2 + -3x3 + 3x3 + -1x4 + x4 Combine like terms: 6x2 + -6x2 = 0 -8x + -6x2 + 3x3 + x4 = 0 + -3x3 + 3x3 + -1x4 + x4 -8x + -6x2 + 3x3 + x4 = -3x3 + 3x3 + -1x4 + x4 Combine like terms: -3x3 + 3x3 = 0 -8x + -6x2 + 3x3 + x4 = 0 + -1x4 + x4 -8x + -6x2 + 3x3 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 -8x + -6x2 + 3x3 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + -6x + 3x2 + 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 '(-8 + -6x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -8 + -6x + 3x2 + x3 = 0 Solving -8 + -6x + 3x2 + 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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