4e^2x=20e^3x

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Solution for 4e^2x=20e^3x equation:


Simplifying
4e2x = 20e3x

Solving
4e2x = 20e3x

Solving for variable 'e'.

Combine like terms: 20e3x + -20e3x = 0
4e2x + -20e3x = 0

Factor out the Greatest Common Factor (GCF), '4e2x'.
4e2x(1 + -5e) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'e2x' equal to zero and attempt to solve: Simplifying e2x = 0 Solving e2x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x = 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 '(1 + -5e)' equal to zero and attempt to solve: Simplifying 1 + -5e = 0 Solving 1 + -5e = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5e = 0 + -1 -5e = 0 + -1 Combine like terms: 0 + -1 = -1 -5e = -1 Divide each side by '-5'. e = 0.2 Simplifying e = 0.2

Solution

e = {0.2}

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