10e^7n=35

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Solution for 10e^7n=35 equation:


Simplifying
10e7n = 35

Solving
10e7n = 35

Solving for variable 'e'.

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

Divide each side by '10n'.
e7 = 3.5n-1

Simplifying
e7 = 3.5n-1

Combine like terms: 3.5n-1 + -3.5n-1 = 0.0
e7 + -3.5n-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'n-1'.
n-1(e7n + -3.5) = 0.0

Subproblem 1

Set the factor 'n-1' equal to zero and attempt to solve: Simplifying n-1 = 0 Solving n-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1n-1' to each side of the equation. n-1 + -1n-1 = 0 + -1n-1 Remove the zero: 0 = -1n-1 Simplifying 0 = -1n-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 '(e7n + -3.5)' equal to zero and attempt to solve: Simplifying e7n + -3.5 = 0 Reorder the terms: -3.5 + e7n = 0 Solving -3.5 + e7n = 0 Move all terms containing e to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + e7n = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + e7n = 0 + 3.5 e7n = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 e7n = 3.5 Divide each side by 'n'. e7 = 3.5n-1 Simplifying e7 = 3.5n-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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