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Simplifying (x) = 9e2x x = 9e2x Solving x = 9e2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9e2x' to each side of the equation. -9e2x + x = 9e2x + -9e2x Combine like terms: 9e2x + -9e2x = 0 -9e2x + x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9e2 + 1) = 0 Factor a difference between two squares. x((3e + 1)(-3e + 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 '(3e + 1)' equal to zero and attempt to solve: Simplifying 3e + 1 = 0 Reorder the terms: 1 + 3e = 0 Solving 1 + 3e = 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 + 3e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3e = 0 + -1 3e = 0 + -1 Combine like terms: 0 + -1 = -1 3e = -1 Add '-3e' to each side of the equation. 3e + -3e = -1 + -3e Combine like terms: 3e + -3e = 0 0 = -1 + -3e Simplifying 0 = -1 + -3e 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 '(-3e + 1)' equal to zero and attempt to solve: Simplifying -3e + 1 = 0 Reorder the terms: 1 + -3e = 0 Solving 1 + -3e = 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 + -3e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3e = 0 + -1 -3e = 0 + -1 Combine like terms: 0 + -1 = -1 -3e = -1 Add '3e' to each side of the equation. -3e + 3e = -1 + 3e Combine like terms: -3e + 3e = 0 0 = -1 + 3e Simplifying 0 = -1 + 3e 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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