10=50e^2(x-1)

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Solution for 10=50e^2(x-1) equation: 


Simplifying
10 = 50e2(x + -1)

Reorder the terms:
10 = 50e2(-1 + x)
10 = (-1 * 50e2 + x * 50e2)
10 = (-50e2 + 50e2x)

Solving
10 = -50e2 + 50e2x

Solving for variable 'e'.

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

Add '50e2' to each side of the equation.
10 + 50e2 = -50e2 + 50e2 + 50e2x

Combine like terms: -50e2 + 50e2 = 0
10 + 50e2 = 0 + 50e2x
10 + 50e2 = 50e2x

Add '-50e2x' to each side of the equation.
10 + 50e2 + -50e2x = 50e2x + -50e2x

Combine like terms: 50e2x + -50e2x = 0
10 + 50e2 + -50e2x = 0

Add '-10' to each side of the equation.
10 + 50e2 + -10 + -50e2x = 0 + -10

Reorder the terms:
10 + -10 + 50e2 + -50e2x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 50e2 + -50e2x = 0 + -10
50e2 + -50e2x = 0 + -10

Combine like terms: 0 + -10 = -10
50e2 + -50e2x = -10

Reorder the terms:
10 + 50e2 + -50e2x = -10 + 10

Combine like terms: -10 + 10 = 0
10 + 50e2 + -50e2x = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(1 + 5e2 + -5e2x) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(1 + 5e2 + -5e2x)' equal to zero and attempt to solve:

Simplifying
1 + 5e2 + -5e2x = 0

Solving
1 + 5e2 + -5e2x = 0

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

Add '-1' to each side of the equation.
1 + 5e2 + -1 + -5e2x = 0 + -1

Reorder the terms:
1 + -1 + 5e2 + -5e2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5e2 + -5e2x = 0 + -1
5e2 + -5e2x = 0 + -1

Combine like terms: 0 + -1 = -1
5e2 + -5e2x = -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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