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Simplifying 5e2x + -3 = 125 Reorder the terms: -3 + 5e2x = 125 Solving -3 + 5e2x = 125 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5e2x = 125 + 3 Combine like terms: -3 + 3 = 0 0 + 5e2x = 125 + 3 5e2x = 125 + 3 Combine like terms: 125 + 3 = 128 5e2x = 128 Divide each side by '5x'. e2 = 25.6x-1 Simplifying e2 = 25.6x-1 Combine like terms: 25.6x-1 + -25.6x-1 = 0.0 e2 + -25.6x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -25.6) = 0.0Subproblem 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 '(e2x + -25.6)' equal to zero and attempt to solve: Simplifying e2x + -25.6 = 0 Reorder the terms: -25.6 + e2x = 0 Solving -25.6 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '25.6' to each side of the equation. -25.6 + 25.6 + e2x = 0 + 25.6 Combine like terms: -25.6 + 25.6 = 0.0 0.0 + e2x = 0 + 25.6 e2x = 0 + 25.6 Combine like terms: 0 + 25.6 = 25.6 e2x = 25.6 Divide each side by 'x'. e2 = 25.6x-1 Simplifying e2 = 25.6x-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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