e^2t=2

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Solution for e^2t=2 equation:


Simplifying
e2t = 2

Solving
e2t = 2

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by 't'.
e2 = 2t-1

Simplifying
e2 = 2t-1

Combine like terms: 2t-1 + -2t-1 = 0
e2 + -2t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e2t + -2) = 0

Subproblem 1

Set the factor 't-1' equal to zero and attempt to solve: Simplifying t-1 = 0 Solving t-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1t-1' to each side of the equation. t-1 + -1t-1 = 0 + -1t-1 Remove the zero: 0 = -1t-1 Simplifying 0 = -1t-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 '(e2t + -2)' equal to zero and attempt to solve: Simplifying e2t + -2 = 0 Reorder the terms: -2 + e2t = 0 Solving -2 + e2t = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e2t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e2t = 0 + 2 e2t = 0 + 2 Combine like terms: 0 + 2 = 2 e2t = 2 Divide each side by 't'. e2 = 2t-1 Simplifying e2 = 2t-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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