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Simplifying (2a + 5)(2a + -5) = 0 Reorder the terms: (5 + 2a)(2a + -5) = 0 Reorder the terms: (5 + 2a)(-5 + 2a) = 0 Multiply (5 + 2a) * (-5 + 2a) (5(-5 + 2a) + 2a * (-5 + 2a)) = 0 ((-5 * 5 + 2a * 5) + 2a * (-5 + 2a)) = 0 ((-25 + 10a) + 2a * (-5 + 2a)) = 0 (-25 + 10a + (-5 * 2a + 2a * 2a)) = 0 (-25 + 10a + (-10a + 4a2)) = 0 Combine like terms: 10a + -10a = 0 (-25 + 0 + 4a2) = 0 (-25 + 4a2) = 0 Solving -25 + 4a2 = 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 + 4a2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4a2 = 0 + 25 4a2 = 0 + 25 Combine like terms: 0 + 25 = 25 4a2 = 25 Divide each side by '4'. a2 = 6.25 Simplifying a2 = 6.25 Take the square root of each side: a = {-2.5, 2.5}
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