15=27e^7t

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Solution for 15=27e^7t equation:


Simplifying
15 = 27e7t

Solving
15 = 27e7t

Solving for variable 'e'.

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

Add '-27e7t' to each side of the equation.
15 + -27e7t = 27e7t + -27e7t

Combine like terms: 27e7t + -27e7t = 0
15 + -27e7t = 0

Add '-15' to each side of the equation.
15 + -15 + -27e7t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -27e7t = 0 + -15
-27e7t = 0 + -15

Combine like terms: 0 + -15 = -15
-27e7t = -15

Divide each side by '-27t'.
e7 = 0.5555555556t-1

Simplifying
e7 = 0.5555555556t-1

Combine like terms: 0.5555555556t-1 + -0.5555555556t-1 = 0.0000000000
e7 + -0.5555555556t-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e7t + -0.5555555556) = 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 '(e7t + -0.5555555556)' equal to zero and attempt to solve: Simplifying e7t + -0.5555555556 = 0 Reorder the terms: -0.5555555556 + e7t = 0 Solving -0.5555555556 + e7t = 0 Move all terms containing e to the left, all other terms to the right. Add '0.5555555556' to each side of the equation. -0.5555555556 + 0.5555555556 + e7t = 0 + 0.5555555556 Combine like terms: -0.5555555556 + 0.5555555556 = 0.0000000000 0.0000000000 + e7t = 0 + 0.5555555556 e7t = 0 + 0.5555555556 Combine like terms: 0 + 0.5555555556 = 0.5555555556 e7t = 0.5555555556 Divide each side by 't'. e7 = 0.5555555556t-1 Simplifying e7 = 0.5555555556t-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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