40e^4xy=30e^3xy

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Solution for 40e^4xy=30e^3xy equation:


Simplifying
40e4xy = 30e3xy

Solving
40e4xy = 30e3xy

Solving for variable 'e'.

Reorder the terms:
-30e3xy + 40e4xy = 30e3xy + -30e3xy

Combine like terms: 30e3xy + -30e3xy = 0
-30e3xy + 40e4xy = 0

Factor out the Greatest Common Factor (GCF), '10e3xy'.
10e3xy(-3 + 4e) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 'e3xy' equal to zero and attempt to solve: Simplifying e3xy = 0 Solving e3xy = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3xy = 0 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 '(-3 + 4e)' equal to zero and attempt to solve: Simplifying -3 + 4e = 0 Solving -3 + 4e = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4e = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4e = 0 + 3 4e = 0 + 3 Combine like terms: 0 + 3 = 3 4e = 3 Divide each side by '4'. e = 0.75 Simplifying e = 0.75

Solution

e = {0.75}

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