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Simplifying 12(e5x + 4) = 13 Reorder the terms: 12(4 + e5x) = 13 (4 * 12 + e5x * 12) = 13 (48 + 12e5x) = 13 Solving 48 + 12e5x = 13 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 12e5x = 13 + -48 Combine like terms: 48 + -48 = 0 0 + 12e5x = 13 + -48 12e5x = 13 + -48 Combine like terms: 13 + -48 = -35 12e5x = -35 Divide each side by '12x'. e5 = -2.916666667x-1 Simplifying e5 = -2.916666667x-1 Combine like terms: -2.916666667x-1 + 2.916666667x-1 = 0.000000000 e5 + 2.916666667x-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e5x + 2.916666667) = 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 '(e5x + 2.916666667)' equal to zero and attempt to solve: Simplifying e5x + 2.916666667 = 0 Reorder the terms: 2.916666667 + e5x = 0 Solving 2.916666667 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '-2.916666667' to each side of the equation. 2.916666667 + -2.916666667 + e5x = 0 + -2.916666667 Combine like terms: 2.916666667 + -2.916666667 = 0.000000000 0.000000000 + e5x = 0 + -2.916666667 e5x = 0 + -2.916666667 Combine like terms: 0 + -2.916666667 = -2.916666667 e5x = -2.916666667 Divide each side by 'x'. e5 = -2.916666667x-1 Simplifying e5 = -2.916666667x-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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