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Simplifying 0 = x4 + 4x3 Reorder the terms: 0 = 4x3 + x4 Solving 0 = 4x3 + x4 Solving for variable 'x'. Remove the zero: -4x3 + -1x4 = 4x3 + x4 + -4x3 + -1x4 Reorder the terms: -4x3 + -1x4 = 4x3 + -4x3 + x4 + -1x4 Combine like terms: 4x3 + -4x3 = 0 -4x3 + -1x4 = 0 + x4 + -1x4 -4x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -4x3 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), '-1x3'. -1x3(4 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-4}
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