200=100+40e^3X

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Solution for 200=100+40e^3X equation:


Simplifying
200 = 100 + 40e3X

Solving
200 = 100 + 40e3X

Solving for variable 'e'.

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

Add '-40e3X' to each side of the equation.
200 + -40e3X = 100 + 40e3X + -40e3X

Combine like terms: 40e3X + -40e3X = 0
200 + -40e3X = 100 + 0
200 + -40e3X = 100

Add '-200' to each side of the equation.
200 + -200 + -40e3X = 100 + -200

Combine like terms: 200 + -200 = 0
0 + -40e3X = 100 + -200
-40e3X = 100 + -200

Combine like terms: 100 + -200 = -100
-40e3X = -100

Divide each side by '-40X'.
e3 = 2.5X-1

Simplifying
e3 = 2.5X-1

Reorder the terms:
-2.5X-1 + e3 = 2.5X-1 + -2.5X-1

Combine like terms: 2.5X-1 + -2.5X-1 = 0.0
-2.5X-1 + e3 = 0.0

Factor out the Greatest Common Factor (GCF), 'X-1'.
X-1(-2.5 + e3X) = 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 '(-2.5 + e3X)' equal to zero and attempt to solve: Simplifying -2.5 + e3X = 0 Solving -2.5 + e3X = 0 Move all terms containing e to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + e3X = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + e3X = 0 + 2.5 e3X = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 e3X = 2.5 Divide each side by 'X'. e3 = 2.5X-1 Simplifying e3 = 2.5X-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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