6e^6x=7e^9x

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Solution for 6e^6x=7e^9x equation:


Simplifying
6e6x = 7e9x

Solving
6e6x = 7e9x

Solving for variable 'e'.

Combine like terms: 7e9x + -7e9x = 0
6e6x + -7e9x = 0

Factor out the Greatest Common Factor (GCF), 'e6x'.
e6x(6 + -7e3) = 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 '(6 + -7e3)' equal to zero and attempt to solve: Simplifying 6 + -7e3 = 0 Solving 6 + -7e3 = 0 Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7e3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7e3 = 0 + -6 -7e3 = 0 + -6 Combine like terms: 0 + -6 = -6 -7e3 = -6 Divide each side by '-7'. e3 = 0.8571428571 Simplifying e3 = 0.8571428571 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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