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Simplifying (2e2x + 5)(-3e2) = 0 Reorder the terms: (5 + 2e2x)(-3e2) = 0 Remove parenthesis around (-3e2) (5 + 2e2x) * -3e2 = 0 Reorder the terms for easier multiplication: -3e2(5 + 2e2x) = 0 (5 * -3e2 + 2e2x * -3e2) = 0 (-15e2 + -6e4x) = 0 Solving -15e2 + -6e4x = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), '-3e2'. -3e2(5 + 2e2x) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'e2' equal to zero and attempt to solve: Simplifying e2 = 0 Solving e2 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2 = 0 Take the square root of each side: e = {0}Subproblem 2
Set the factor '(5 + 2e2x)' equal to zero and attempt to solve: Simplifying 5 + 2e2x = 0 Solving 5 + 2e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2e2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2e2x = 0 + -5 2e2x = 0 + -5 Combine like terms: 0 + -5 = -5 2e2x = -5 Divide each side by '2x'. e2 = -2.5x-1 Simplifying e2 = -2.5x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
e = {0}
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