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Simplifying 16 = 9e2x Solving 16 = 9e2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-9e2x' to each side of the equation. 16 + -9e2x = 9e2x + -9e2x Combine like terms: 9e2x + -9e2x = 0 16 + -9e2x = 0 Add '-16' to each side of the equation. 16 + -16 + -9e2x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9e2x = 0 + -16 -9e2x = 0 + -16 Combine like terms: 0 + -16 = -16 -9e2x = -16 Divide each side by '-9x'. e2 = 1.777777778x-1 Simplifying e2 = 1.777777778x-1 Combine like terms: 1.777777778x-1 + -1.777777778x-1 = 0.000000000 e2 + -1.777777778x-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -1.777777778) = 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 + -1.777777778)' equal to zero and attempt to solve: Simplifying e2x + -1.777777778 = 0 Reorder the terms: -1.777777778 + e2x = 0 Solving -1.777777778 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.777777778' to each side of the equation. -1.777777778 + 1.777777778 + e2x = 0 + 1.777777778 Combine like terms: -1.777777778 + 1.777777778 = 0.000000000 0.000000000 + e2x = 0 + 1.777777778 e2x = 0 + 1.777777778 Combine like terms: 0 + 1.777777778 = 1.777777778 e2x = 1.777777778 Divide each side by 'x'. e2 = 1.777777778x-1 Simplifying e2 = 1.777777778x-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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