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Simplifying 3e2x + 5 = 1100 Reorder the terms: 5 + 3e2x = 1100 Solving 5 + 3e2x = 1100 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 + 3e2x = 1100 + -5 Combine like terms: 5 + -5 = 0 0 + 3e2x = 1100 + -5 3e2x = 1100 + -5 Combine like terms: 1100 + -5 = 1095 3e2x = 1095 Divide each side by '3x'. e2 = 365x-1 Simplifying e2 = 365x-1 Combine like terms: 365x-1 + -365x-1 = 0 e2 + -365x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -365) = 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 + -365)' equal to zero and attempt to solve: Simplifying e2x + -365 = 0 Reorder the terms: -365 + e2x = 0 Solving -365 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '365' to each side of the equation. -365 + 365 + e2x = 0 + 365 Combine like terms: -365 + 365 = 0 0 + e2x = 0 + 365 e2x = 0 + 365 Combine like terms: 0 + 365 = 365 e2x = 365 Divide each side by 'x'. e2 = 365x-1 Simplifying e2 = 365x-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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