7e^5t=1

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Solution for 7e^5t=1 equation:


Simplifying
7e5t = 1

Solving
7e5t = 1

Solving for variable 'e'.

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

Divide each side by '7t'.
e5 = 0.1428571429t-1

Simplifying
e5 = 0.1428571429t-1

Combine like terms: 0.1428571429t-1 + -0.1428571429t-1 = 0.0000000000
e5 + -0.1428571429t-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e5t + -0.1428571429) = 0.0000000000

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 '(e5t + -0.1428571429)' equal to zero and attempt to solve: Simplifying e5t + -0.1428571429 = 0 Reorder the terms: -0.1428571429 + e5t = 0 Solving -0.1428571429 + e5t = 0 Move all terms containing e to the left, all other terms to the right. Add '0.1428571429' to each side of the equation. -0.1428571429 + 0.1428571429 + e5t = 0 + 0.1428571429 Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000 0.0000000000 + e5t = 0 + 0.1428571429 e5t = 0 + 0.1428571429 Combine like terms: 0 + 0.1428571429 = 0.1428571429 e5t = 0.1428571429 Divide each side by 't'. e5 = 0.1428571429t-1 Simplifying e5 = 0.1428571429t-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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