10*e^5*r=100

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Solution for 10*e^5*r=100 equation: 


Simplifying
10e5 * r = 100

Multiply e5 * r
10e5r = 100

Solving
10e5r = 100

Solving for variable 'e'.

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

Divide each side by '10r'.
e5 = 10r-1

Simplifying
e5 = 10r-1

Combine like terms: 10r-1 + -10r-1 = 0
e5 + -10r-1 = 0

Factor out the Greatest Common Factor (GCF), 'r-1'.
r-1(e5r + -10) = 0


Subproblem 1
Set the factor 'r-1' equal to zero and attempt to solve:

Simplifying
r-1 = 0

Solving
r-1 = 0

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

Add '-1r-1' to each side of the equation.
r-1 + -1r-1 = 0 + -1r-1
Remove the zero:
0 = -1r-1

Simplifying
0 = -1r-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 '(e5r + -10)' equal to zero and attempt to solve:

Simplifying
e5r + -10 = 0

Reorder the terms:
-10 + e5r = 0

Solving
-10 + e5r = 0

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

Add '10' to each side of the equation.
-10 + 10 + e5r = 0 + 10

Combine like terms: -10 + 10 = 0
0 + e5r = 0 + 10
e5r = 0 + 10

Combine like terms: 0 + 10 = 10
e5r = 10

Divide each side by 'r'.
e5 = 10r-1

Simplifying
e5 = 10r-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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