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Simplifying 3e2x = 6e3x Solving 3e2x = 6e3x Solving for variable 'e'. Combine like terms: 6e3x + -6e3x = 0 3e2x + -6e3x = 0 Factor out the Greatest Common Factor (GCF), '3e2x'. 3e2x(1 + -2e) = 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 '(1 + -2e)' equal to zero and attempt to solve: Simplifying 1 + -2e = 0 Solving 1 + -2e = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2e = 0 + -1 -2e = 0 + -1 Combine like terms: 0 + -1 = -1 -2e = -1 Divide each side by '-2'. e = 0.5 Simplifying e = 0.5Solution
e = {0.5}
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