6=5+5e^6x

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Solution for 6=5+5e^6x equation:


Simplifying
6 = 5 + 5e6x

Solving
6 = 5 + 5e6x

Solving for variable 'e'.

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

Add '-5e6x' to each side of the equation.
6 + -5e6x = 5 + 5e6x + -5e6x

Combine like terms: 5e6x + -5e6x = 0
6 + -5e6x = 5 + 0
6 + -5e6x = 5

Add '-6' to each side of the equation.
6 + -6 + -5e6x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -5e6x = 5 + -6
-5e6x = 5 + -6

Combine like terms: 5 + -6 = -1
-5e6x = -1

Divide each side by '-5x'.
e6 = 0.2x-1

Simplifying
e6 = 0.2x-1

Combine like terms: 0.2x-1 + -0.2x-1 = 0.0
e6 + -0.2x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + -0.2) = 0.0

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 '(e6x + -0.2)' equal to zero and attempt to solve: Simplifying e6x + -0.2 = 0 Reorder the terms: -0.2 + e6x = 0 Solving -0.2 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + e6x = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + e6x = 0 + 0.2 e6x = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 e6x = 0.2 Divide each side by 'x'. e6 = 0.2x-1 Simplifying e6 = 0.2x-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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