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Simplifying e2x + -6 = 52 Reorder the terms: -6 + e2x = 52 Solving -6 + e2x = 52 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + e2x = 52 + 6 Combine like terms: -6 + 6 = 0 0 + e2x = 52 + 6 e2x = 52 + 6 Combine like terms: 52 + 6 = 58 e2x = 58 Divide each side by 'x'. e2 = 58x-1 Simplifying e2 = 58x-1 Combine like terms: 58x-1 + -58x-1 = 0 e2 + -58x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -58) = 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 + -58)' equal to zero and attempt to solve: Simplifying e2x + -58 = 0 Reorder the terms: -58 + e2x = 0 Solving -58 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + e2x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + e2x = 0 + 58 e2x = 0 + 58 Combine like terms: 0 + 58 = 58 e2x = 58 Divide each side by 'x'. e2 = 58x-1 Simplifying e2 = 58x-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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