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Simplifying 0 = x5 + -5x Reorder the terms: 0 = -5x + x5 Solving 0 = -5x + x5 Solving for variable 'x'. Remove the zero: 5x + -1x5 = -5x + x5 + 5x + -1x5 Reorder the terms: 5x + -1x5 = -5x + 5x + x5 + -1x5 Combine like terms: -5x + 5x = 0 5x + -1x5 = 0 + x5 + -1x5 5x + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 5x + -1x5 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -1x4) = 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 '(5 + -1x4)' equal to zero and attempt to solve: Simplifying 5 + -1x4 = 0 Solving 5 + -1x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x4 = 0 + -5 -1x4 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x4 = -5 Divide each side by '-1'. x4 = 5 Simplifying x4 = 5 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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