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Simplifying 3e4x + -2e2x = 0 Reorder the terms: -2e2x + 3e4x = 0 Solving -2e2x + 3e4x = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(-2 + 3e2) = 0Subproblem 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 + 3e2)' equal to zero and attempt to solve: Simplifying -2 + 3e2 = 0 Solving -2 + 3e2 = 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 + 3e2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3e2 = 0 + 2 3e2 = 0 + 2 Combine like terms: 0 + 2 = 2 3e2 = 2 Divide each side by '3'. e2 = 0.6666666667 Simplifying e2 = 0.6666666667 Take the square root of each side: e = {-0.816496581, 0.816496581}Solution
e = {-0.816496581, 0.816496581}
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