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Simplifying 3e2x + 10 = 11 Reorder the terms: 10 + 3e2x = 11 Solving 10 + 3e2x = 11 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3e2x = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 3e2x = 11 + -10 3e2x = 11 + -10 Combine like terms: 11 + -10 = 1 3e2x = 1 Divide each side by '3x'. e2 = 0.3333333333x-1 Simplifying e2 = 0.3333333333x-1 Combine like terms: 0.3333333333x-1 + -0.3333333333x-1 = 0.0000000000 e2 + -0.3333333333x-1 = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -0.3333333333) = 0.0000000000Subproblem 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 + -0.3333333333)' equal to zero and attempt to solve: Simplifying e2x + -0.3333333333 = 0 Reorder the terms: -0.3333333333 + e2x = 0 Solving -0.3333333333 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.3333333333' to each side of the equation. -0.3333333333 + 0.3333333333 + e2x = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + e2x = 0 + 0.3333333333 e2x = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 e2x = 0.3333333333 Divide each side by 'x'. e2 = 0.3333333333x-1 Simplifying e2 = 0.3333333333x-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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