7e^3x=9e^6x

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Solution for 7e^3x=9e^6x equation:


Simplifying
7e3x = 9e6x

Solving
7e3x = 9e6x

Solving for variable 'e'.

Combine like terms: 9e6x + -9e6x = 0
7e3x + -9e6x = 0

Factor out the Greatest Common Factor (GCF), 'e3x'.
e3x(7 + -9e3) = 0

Subproblem 1

Set the factor 'e3x' equal to zero and attempt to solve: Simplifying e3x = 0 Solving e3x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3x = 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 '(7 + -9e3)' equal to zero and attempt to solve: Simplifying 7 + -9e3 = 0 Solving 7 + -9e3 = 0 Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9e3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9e3 = 0 + -7 -9e3 = 0 + -7 Combine like terms: 0 + -7 = -7 -9e3 = -7 Divide each side by '-9'. e3 = 0.7777777778 Simplifying e3 = 0.7777777778 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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