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Simplifying 5e(5e + 7) + e(6e + 7) = 0 Reorder the terms: 5e(7 + 5e) + e(6e + 7) = 0 (7 * 5e + 5e * 5e) + e(6e + 7) = 0 (35e + 25e2) + e(6e + 7) = 0 Reorder the terms: 35e + 25e2 + e(7 + 6e) = 0 35e + 25e2 + (7 * e + 6e * e) = 0 35e + 25e2 + (7e + 6e2) = 0 Reorder the terms: 35e + 7e + 25e2 + 6e2 = 0 Combine like terms: 35e + 7e = 42e 42e + 25e2 + 6e2 = 0 Combine like terms: 25e2 + 6e2 = 31e2 42e + 31e2 = 0 Solving 42e + 31e2 = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e'. e(42 + 31e) = 0Subproblem 1
Set the factor 'e' equal to zero and attempt to solve: Simplifying e = 0 Solving e = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e = 0Subproblem 2
Set the factor '(42 + 31e)' equal to zero and attempt to solve: Simplifying 42 + 31e = 0 Solving 42 + 31e = 0 Move all terms containing e to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 31e = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 31e = 0 + -42 31e = 0 + -42 Combine like terms: 0 + -42 = -42 31e = -42 Divide each side by '31'. e = -1.35483871 Simplifying e = -1.35483871Solution
e = {0, -1.35483871}
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