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Simplifying 3e2x + 7 = 12 Reorder the terms: 7 + 3e2x = 12 Solving 7 + 3e2x = 12 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3e2x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 3e2x = 12 + -7 3e2x = 12 + -7 Combine like terms: 12 + -7 = 5 3e2x = 5 Divide each side by '3x'. e2 = 1.666666667x-1 Simplifying e2 = 1.666666667x-1 Combine like terms: 1.666666667x-1 + -1.666666667x-1 = 0.000000000 e2 + -1.666666667x-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -1.666666667) = 0.000000000Subproblem 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 + -1.666666667)' equal to zero and attempt to solve: Simplifying e2x + -1.666666667 = 0 Reorder the terms: -1.666666667 + e2x = 0 Solving -1.666666667 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.666666667' to each side of the equation. -1.666666667 + 1.666666667 + e2x = 0 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + e2x = 0 + 1.666666667 e2x = 0 + 1.666666667 Combine like terms: 0 + 1.666666667 = 1.666666667 e2x = 1.666666667 Divide each side by 'x'. e2 = 1.666666667x-1 Simplifying e2 = 1.666666667x-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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