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Simplifying 26 = 2e2x + 9 Reorder the terms: 26 = 9 + 2e2x Solving 26 = 9 + 2e2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2e2x' to each side of the equation. 26 + -2e2x = 9 + 2e2x + -2e2x Combine like terms: 2e2x + -2e2x = 0 26 + -2e2x = 9 + 0 26 + -2e2x = 9 Add '-26' to each side of the equation. 26 + -26 + -2e2x = 9 + -26 Combine like terms: 26 + -26 = 0 0 + -2e2x = 9 + -26 -2e2x = 9 + -26 Combine like terms: 9 + -26 = -17 -2e2x = -17 Divide each side by '-2x'. e2 = 8.5x-1 Simplifying e2 = 8.5x-1 Combine like terms: 8.5x-1 + -8.5x-1 = 0.0 e2 + -8.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -8.5) = 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 '(e2x + -8.5)' equal to zero and attempt to solve: Simplifying e2x + -8.5 = 0 Reorder the terms: -8.5 + e2x = 0 Solving -8.5 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '8.5' to each side of the equation. -8.5 + 8.5 + e2x = 0 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + e2x = 0 + 8.5 e2x = 0 + 8.5 Combine like terms: 0 + 8.5 = 8.5 e2x = 8.5 Divide each side by 'x'. e2 = 8.5x-1 Simplifying e2 = 8.5x-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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