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Simplifying 2e5x = 80 Solving 2e5x = 80 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Divide each side by '2x'. e5 = 40x-1 Simplifying e5 = 40x-1 Combine like terms: 40x-1 + -40x-1 = 0 e5 + -40x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e5x + -40) = 0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(e5x + -40)' equal to zero and attempt to solve: Simplifying e5x + -40 = 0 Reorder the terms: -40 + e5x = 0 Solving -40 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + e5x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + e5x = 0 + 40 e5x = 0 + 40 Combine like terms: 0 + 40 = 40 e5x = 40 Divide each side by 'x'. e5 = 40x-1 Simplifying e5 = 40x-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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