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Simplifying 8e2x + -5 = 8 Reorder the terms: -5 + 8e2x = 8 Solving -5 + 8e2x = 8 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8e2x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 8e2x = 8 + 5 8e2x = 8 + 5 Combine like terms: 8 + 5 = 13 8e2x = 13 Divide each side by '8x'. e2 = 1.625x-1 Simplifying e2 = 1.625x-1 Combine like terms: 1.625x-1 + -1.625x-1 = 0.000 e2 + -1.625x-1 = 0.000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -1.625) = 0.000Subproblem 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 '(e2x + -1.625)' equal to zero and attempt to solve: Simplifying e2x + -1.625 = 0 Reorder the terms: -1.625 + e2x = 0 Solving -1.625 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.625' to each side of the equation. -1.625 + 1.625 + e2x = 0 + 1.625 Combine like terms: -1.625 + 1.625 = 0.000 0.000 + e2x = 0 + 1.625 e2x = 0 + 1.625 Combine like terms: 0 + 1.625 = 1.625 e2x = 1.625 Divide each side by 'x'. e2 = 1.625x-1 Simplifying e2 = 1.625x-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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