5e^6x=7e^7x

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Solution for 5e^6x=7e^7x equation:


Simplifying
5e6x = 7e7x

Solving
5e6x = 7e7x

Solving for variable 'e'.

Combine like terms: 7e7x + -7e7x = 0
5e6x + -7e7x = 0

Factor out the Greatest Common Factor (GCF), 'e6x'.
e6x(5 + -7e) = 0

Subproblem 1

Set the factor 'e6x' equal to zero and attempt to solve: Simplifying e6x = 0 Solving e6x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e6x = 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 '(5 + -7e)' equal to zero and attempt to solve: Simplifying 5 + -7e = 0 Solving 5 + -7e = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7e = 0 + -5 -7e = 0 + -5 Combine like terms: 0 + -5 = -5 -7e = -5 Divide each side by '-7'. e = 0.7142857143 Simplifying e = 0.7142857143

Solution

e = {0.7142857143}

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