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Simplifying 2e5x = 6e3x Solving 2e5x = 6e3x Solving for variable 'e'. Reorder the terms: -6e3x + 2e5x = 6e3x + -6e3x Combine like terms: 6e3x + -6e3x = 0 -6e3x + 2e5x = 0 Factor out the Greatest Common Factor (GCF), '2e3x'. 2e3x(-3 + e2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'e3x' equal to zero and attempt to solve: Simplifying e3x = 0 Solving e3x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3x = 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 + e2)' equal to zero and attempt to solve: Simplifying -3 + e2 = 0 Solving -3 + e2 = 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 + e2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + e2 = 0 + 3 e2 = 0 + 3 Combine like terms: 0 + 3 = 3 e2 = 3 Simplifying e2 = 3 Take the square root of each side: e = {-1.732050808, 1.732050808}Solution
e = {-1.732050808, 1.732050808}
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