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Simplifying 6e3x + 24e2x = 0 Reorder the terms: 24e2x + 6e3x = 0 Solving 24e2x + 6e3x = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), '6e2x'. 6e2x(4 + e) = 0 Ignore the factor 6.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 '(4 + e)' equal to zero and attempt to solve: Simplifying 4 + e = 0 Solving 4 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + e = 0 + -4 Combine like terms: 4 + -4 = 0 0 + e = 0 + -4 e = 0 + -4 Combine like terms: 0 + -4 = -4 e = -4 Simplifying e = -4Solution
e = {-4}
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