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Simplifying (x) = 4e2x x = 4e2x Solving x = 4e2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4e2x' to each side of the equation. -4e2x + x = 4e2x + -4e2x Combine like terms: 4e2x + -4e2x = 0 -4e2x + x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4e2 + 1) = 0 Factor a difference between two squares. x((2e + 1)(-2e + 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 '(2e + 1)' equal to zero and attempt to solve: Simplifying 2e + 1 = 0 Reorder the terms: 1 + 2e = 0 Solving 1 + 2e = 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 + 2e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2e = 0 + -1 2e = 0 + -1 Combine like terms: 0 + -1 = -1 2e = -1 Add '-2e' to each side of the equation. 2e + -2e = -1 + -2e Combine like terms: 2e + -2e = 0 0 = -1 + -2e Simplifying 0 = -1 + -2e 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 '(-2e + 1)' equal to zero and attempt to solve: Simplifying -2e + 1 = 0 Reorder the terms: 1 + -2e = 0 Solving 1 + -2e = 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 + -2e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2e = 0 + -1 -2e = 0 + -1 Combine like terms: 0 + -1 = -1 -2e = -1 Add '2e' to each side of the equation. -2e + 2e = -1 + 2e Combine like terms: -2e + 2e = 0 0 = -1 + 2e Simplifying 0 = -1 + 2e 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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