500=65e^15x

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Solution for 500=65e^15x equation:


Simplifying
500 = 65e15x

Solving
500 = 65e15x

Solving for variable 'e'.

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

Add '-65e15x' to each side of the equation.
500 + -65e15x = 65e15x + -65e15x

Combine like terms: 65e15x + -65e15x = 0
500 + -65e15x = 0

Add '-500' to each side of the equation.
500 + -500 + -65e15x = 0 + -500

Combine like terms: 500 + -500 = 0
0 + -65e15x = 0 + -500
-65e15x = 0 + -500

Combine like terms: 0 + -500 = -500
-65e15x = -500

Divide each side by '-65x'.
e15 = 7.692307692x-1

Simplifying
e15 = 7.692307692x-1

Combine like terms: 7.692307692x-1 + -7.692307692x-1 = 0.000000000
e15 + -7.692307692x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e15x + -7.692307692) = 0.000000000

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e15x + -7.692307692)' equal to zero and attempt to solve: Simplifying e15x + -7.692307692 = 0 Reorder the terms: -7.692307692 + e15x = 0 Solving -7.692307692 + e15x = 0 Move all terms containing e to the left, all other terms to the right. Add '7.692307692' to each side of the equation. -7.692307692 + 7.692307692 + e15x = 0 + 7.692307692 Combine like terms: -7.692307692 + 7.692307692 = 0.000000000 0.000000000 + e15x = 0 + 7.692307692 e15x = 0 + 7.692307692 Combine like terms: 0 + 7.692307692 = 7.692307692 e15x = 7.692307692 Divide each side by 'x'. e15 = 7.692307692x-1 Simplifying e15 = 7.692307692x-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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