4e^2x=6e^5x

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Solution for 4e^2x=6e^5x equation:


Simplifying
4e2x = 6e5x

Solving
4e2x = 6e5x

Solving for variable 'e'.

Combine like terms: 6e5x + -6e5x = 0
4e2x + -6e5x = 0

Factor out the Greatest Common Factor (GCF), '2e2x'.
2e2x(2 + -3e3) = 0

Ignore the factor 2.

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 '(2 + -3e3)' equal to zero and attempt to solve: Simplifying 2 + -3e3 = 0 Solving 2 + -3e3 = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3e3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3e3 = 0 + -2 -3e3 = 0 + -2 Combine like terms: 0 + -2 = -2 -3e3 = -2 Divide each side by '-3'. e3 = 0.6666666667 Simplifying e3 = 0.6666666667 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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