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Simplifying x = e6x Solving x = e6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1e6x' to each side of the equation. -1e6x + x = e6x + -1e6x Combine like terms: e6x + -1e6x = 0 -1e6x + x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1e6 + 1) = 0 Factor a difference between two squares. x((e3 + 1)(-1e3 + 1)) = 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 '(e3 + 1)' equal to zero and attempt to solve: Simplifying e3 + 1 = 0 Reorder the terms: 1 + e3 = 0 Solving 1 + e3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + e3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e3 = 0 + -1 e3 = 0 + -1 Combine like terms: 0 + -1 = -1 e3 = -1 Add '-1e3' to each side of the equation. e3 + -1e3 = -1 + -1e3 Combine like terms: e3 + -1e3 = 0 0 = -1 + -1e3 Simplifying 0 = -1 + -1e3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1e3 + 1)' equal to zero and attempt to solve: Simplifying -1e3 + 1 = 0 Reorder the terms: 1 + -1e3 = 0 Solving 1 + -1e3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1e3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1e3 = 0 + -1 -1e3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1e3 = -1 Add 'e3' to each side of the equation. -1e3 + e3 = -1 + e3 Combine like terms: -1e3 + e3 = 0 0 = -1 + e3 Simplifying 0 = -1 + e3 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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