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Simplifying 4e4x + -6e2x = 0 Reorder the terms: -6e2x + 4e4x = 0 Solving -6e2x + 4e4x = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), '2e2x'. 2e2x(-3 + 2e2) = 0 Ignore the factor 2.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 '(-3 + 2e2)' equal to zero and attempt to solve: Simplifying -3 + 2e2 = 0 Solving -3 + 2e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2e2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2e2 = 0 + 3 2e2 = 0 + 3 Combine like terms: 0 + 3 = 3 2e2 = 3 Divide each side by '2'. e2 = 1.5 Simplifying e2 = 1.5 Take the square root of each side: e = {-1.224744871, 1.224744871}Solution
e = {-1.224744871, 1.224744871}
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