8e^2n+3-2=43

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Solution for 8e^2n+3-2=43 equation:


Simplifying
8e2n + 3 + -2 = 43

Reorder the terms:
3 + -2 + 8e2n = 43

Combine like terms: 3 + -2 = 1
1 + 8e2n = 43

Solving
1 + 8e2n = 43

Solving for variable 'e'.

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

Add '-1' to each side of the equation.
1 + -1 + 8e2n = 43 + -1

Combine like terms: 1 + -1 = 0
0 + 8e2n = 43 + -1
8e2n = 43 + -1

Combine like terms: 43 + -1 = 42
8e2n = 42

Divide each side by '8n'.
e2 = 5.25n-1

Simplifying
e2 = 5.25n-1

Combine like terms: 5.25n-1 + -5.25n-1 = 0.00
e2 + -5.25n-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'n-1'.
n-1(e2n + -5.25) = 0.00

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 '(e2n + -5.25)' equal to zero and attempt to solve: Simplifying e2n + -5.25 = 0 Reorder the terms: -5.25 + e2n = 0 Solving -5.25 + e2n = 0 Move all terms containing e to the left, all other terms to the right. Add '5.25' to each side of the equation. -5.25 + 5.25 + e2n = 0 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + e2n = 0 + 5.25 e2n = 0 + 5.25 Combine like terms: 0 + 5.25 = 5.25 e2n = 5.25 Divide each side by 'n'. e2 = 5.25n-1 Simplifying e2 = 5.25n-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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