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Simplifying 30 = 0.5e2x Solving 30 = 0.5e2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-0.5e2x' to each side of the equation. 30 + -0.5e2x = 0.5e2x + -0.5e2x Combine like terms: 0.5e2x + -0.5e2x = 0.0 30 + -0.5e2x = 0.0 Add '-30' to each side of the equation. 30 + -30 + -0.5e2x = 0.0 + -30 Combine like terms: 30 + -30 = 0 0 + -0.5e2x = 0.0 + -30 -0.5e2x = 0.0 + -30 Combine like terms: 0.0 + -30 = -30 -0.5e2x = -30 Divide each side by '-0.5x'. e2 = 60x-1 Simplifying e2 = 60x-1 Combine like terms: 60x-1 + -60x-1 = 0 e2 + -60x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -60) = 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 '(e2x + -60)' equal to zero and attempt to solve: Simplifying e2x + -60 = 0 Reorder the terms: -60 + e2x = 0 Solving -60 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + e2x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + e2x = 0 + 60 e2x = 0 + 60 Combine like terms: 0 + 60 = 60 e2x = 60 Divide each side by 'x'. e2 = 60x-1 Simplifying e2 = 60x-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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