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Simplifying 0 = x5 + 4x Reorder the terms: 0 = 4x + x5 Solving 0 = 4x + x5 Solving for variable 'x'. Remove the zero: -4x + -1x5 = 4x + x5 + -4x + -1x5 Reorder the terms: -4x + -1x5 = 4x + -4x + x5 + -1x5 Combine like terms: 4x + -4x = 0 -4x + -1x5 = 0 + x5 + -1x5 -4x + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 -4x + -1x5 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(4 + x4) = 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 '(4 + x4)' equal to zero and attempt to solve: Simplifying 4 + x4 = 0 Solving 4 + x4 = 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 + x4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x4 = 0 + -4 x4 = 0 + -4 Combine like terms: 0 + -4 = -4 x4 = -4 Simplifying x4 = -4 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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