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Simplifying (3a + -5)(3a + 5) = 0 Reorder the terms: (-5 + 3a)(3a + 5) = 0 Reorder the terms: (-5 + 3a)(5 + 3a) = 0 Multiply (-5 + 3a) * (5 + 3a) (-5(5 + 3a) + 3a * (5 + 3a)) = 0 ((5 * -5 + 3a * -5) + 3a * (5 + 3a)) = 0 ((-25 + -15a) + 3a * (5 + 3a)) = 0 (-25 + -15a + (5 * 3a + 3a * 3a)) = 0 (-25 + -15a + (15a + 9a2)) = 0 Combine like terms: -15a + 15a = 0 (-25 + 0 + 9a2) = 0 (-25 + 9a2) = 0 Solving -25 + 9a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9a2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9a2 = 0 + 25 9a2 = 0 + 25 Combine like terms: 0 + 25 = 25 9a2 = 25 Divide each side by '9'. a2 = 2.777777778 Simplifying a2 = 2.777777778 Take the square root of each side: a = {-1.666666667, 1.666666667}
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