200(x)=100+20*(In(0.25x))

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Solution for 200(x)=100+20*(In(0.25x)) equation: 


Simplifying
200(x) = 100 + 20(In(0.25x))

Remove parenthesis around (0.25x)
200x = 100 + 20(nI * 0.25x)

Reorder the terms for easier multiplication:
200x = 100 + 20(0.25nI * x)

Multiply nI * x
200x = 100 + 20(0.25nxI)

Remove parenthesis around (0.25nxI)
200x = 100 + 20 * 0.25nxI

Multiply 20 * 0.25
200x = 100 + 5nxI

Solving
200x = 100 + 5nxI

Solving for variable 'x'.

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

Add '-5nxI' to each side of the equation.
-5nxI + 200x = 100 + 5nxI + -5nxI

Combine like terms: 5nxI + -5nxI = 0
-5nxI + 200x = 100 + 0
-5nxI + 200x = 100

Reorder the terms:
-100 + -5nxI + 200x = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + -5nxI + 200x = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-20 + -1nxI + 40x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-20 + -1nxI + 40x)' equal to zero and attempt to solve:

Simplifying
-20 + -1nxI + 40x = 0

Solving
-20 + -1nxI + 40x = 0

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

Add '20' to each side of the equation.
-20 + -1nxI + 20 + 40x = 0 + 20

Reorder the terms:
-20 + 20 + -1nxI + 40x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1nxI + 40x = 0 + 20
-1nxI + 40x = 0 + 20

Combine like terms: 0 + 20 = 20
-1nxI + 40x = 20

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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