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Simplifying (3e + 5)(3e + -5) = 0 Reorder the terms: (5 + 3e)(3e + -5) = 0 Reorder the terms: (5 + 3e)(-5 + 3e) = 0 Multiply (5 + 3e) * (-5 + 3e) (5(-5 + 3e) + 3e * (-5 + 3e)) = 0 ((-5 * 5 + 3e * 5) + 3e * (-5 + 3e)) = 0 ((-25 + 15e) + 3e * (-5 + 3e)) = 0 (-25 + 15e + (-5 * 3e + 3e * 3e)) = 0 (-25 + 15e + (-15e + 9e2)) = 0 Combine like terms: 15e + -15e = 0 (-25 + 0 + 9e2) = 0 (-25 + 9e2) = 0 Solving -25 + 9e2 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9e2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9e2 = 0 + 25 9e2 = 0 + 25 Combine like terms: 0 + 25 = 25 9e2 = 25 Divide each side by '9'. e2 = 2.777777778 Simplifying e2 = 2.777777778 Take the square root of each side: e = {-1.666666667, 1.666666667}
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