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Simplifying 6e2x = 9e3x Solving 6e2x = 9e3x Solving for variable 'e'. Combine like terms: 9e3x + -9e3x = 0 6e2x + -9e3x = 0 Factor out the Greatest Common Factor (GCF), '3e2x'. 3e2x(2 + -3e) = 0 Ignore the factor 3.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 + -3e)' equal to zero and attempt to solve: Simplifying 2 + -3e = 0 Solving 2 + -3e = 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 + -3e = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3e = 0 + -2 -3e = 0 + -2 Combine like terms: 0 + -2 = -2 -3e = -2 Divide each side by '-3'. e = 0.6666666667 Simplifying e = 0.6666666667Solution
e = {0.6666666667}
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