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Simplifying 0 = x4 + -2x Reorder the terms: 0 = -2x + x4 Solving 0 = -2x + x4 Solving for variable 'x'. Remove the zero: 2x + -1x4 = -2x + x4 + 2x + -1x4 Reorder the terms: 2x + -1x4 = -2x + 2x + x4 + -1x4 Combine like terms: -2x + 2x = 0 2x + -1x4 = 0 + x4 + -1x4 2x + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 2x + -1x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2 + -1x3) = 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 '(2 + -1x3)' equal to zero and attempt to solve: Simplifying 2 + -1x3 = 0 Solving 2 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x3 = 0 + -2 -1x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x3 = -2 Divide each side by '-1'. x3 = 2 Simplifying x3 = 2 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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