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Simplifying 2e3x + -1 = 14 Reorder the terms: -1 + 2e3x = 14 Solving -1 + 2e3x = 14 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2e3x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 2e3x = 14 + 1 2e3x = 14 + 1 Combine like terms: 14 + 1 = 15 2e3x = 15 Divide each side by '2x'. e3 = 7.5x-1 Simplifying e3 = 7.5x-1 Combine like terms: 7.5x-1 + -7.5x-1 = 0.0 e3 + -7.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -7.5) = 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 '(e3x + -7.5)' equal to zero and attempt to solve: Simplifying e3x + -7.5 = 0 Reorder the terms: -7.5 + e3x = 0 Solving -7.5 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + e3x = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + e3x = 0 + 7.5 e3x = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 e3x = 7.5 Divide each side by 'x'. e3 = 7.5x-1 Simplifying e3 = 7.5x-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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