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Simplifying 3e3x + 14 = 83 Reorder the terms: 14 + 3e3x = 83 Solving 14 + 3e3x = 83 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3e3x = 83 + -14 Combine like terms: 14 + -14 = 0 0 + 3e3x = 83 + -14 3e3x = 83 + -14 Combine like terms: 83 + -14 = 69 3e3x = 69 Divide each side by '3x'. e3 = 23x-1 Simplifying e3 = 23x-1 Combine like terms: 23x-1 + -23x-1 = 0 e3 + -23x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -23) = 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 + -23)' equal to zero and attempt to solve: Simplifying e3x + -23 = 0 Reorder the terms: -23 + e3x = 0 Solving -23 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + e3x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + e3x = 0 + 23 e3x = 0 + 23 Combine like terms: 0 + 23 = 23 e3x = 23 Divide each side by 'x'. e3 = 23x-1 Simplifying e3 = 23x-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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