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Simplifying e20x = e10x Solving e20x = e10x Solving for variable 'e'. Reorder the terms: -1e10x + e20x = e10x + -1e10x Combine like terms: e10x + -1e10x = 0 -1e10x + e20x = 0 Factor out the Greatest Common Factor (GCF), 'e10x'. e10x(-1 + e10) = 0 Factor a difference between two squares. e10x((1 + e5)(-1 + e5)) = 0Subproblem 1
Set the factor 'e10x' equal to zero and attempt to solve: Simplifying e10x = 0 Solving e10x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e10x = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + e5)' equal to zero and attempt to solve: Simplifying 1 + e5 = 0 Solving 1 + e5 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + e5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e5 = 0 + -1 e5 = 0 + -1 Combine like terms: 0 + -1 = -1 e5 = -1 Simplifying e5 = -1 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 '(-1 + e5)' equal to zero and attempt to solve: Simplifying -1 + e5 = 0 Solving -1 + e5 = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + e5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + e5 = 0 + 1 e5 = 0 + 1 Combine like terms: 0 + 1 = 1 e5 = 1 Simplifying e5 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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