6e^3x=9e^6x

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


Simplifying
6e3x = 9e6x

Solving
6e3x = 9e6x

Solving for variable 'e'.

Combine like terms: 9e6x + -9e6x = 0
6e3x + -9e6x = 0

Factor out the Greatest Common Factor (GCF), '3e3x'.
3e3x(2 + -3e3) = 0

Ignore the factor 3.

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 '(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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