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Simplifying (a + -10)(a + 10) = 200 Reorder the terms: (-10 + a)(a + 10) = 200 Reorder the terms: (-10 + a)(10 + a) = 200 Multiply (-10 + a) * (10 + a) (-10(10 + a) + a(10 + a)) = 200 ((10 * -10 + a * -10) + a(10 + a)) = 200 ((-100 + -10a) + a(10 + a)) = 200 (-100 + -10a + (10 * a + a * a)) = 200 (-100 + -10a + (10a + a2)) = 200 Combine like terms: -10a + 10a = 0 (-100 + 0 + a2) = 200 (-100 + a2) = 200 Solving -100 + a2 = 200 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + a2 = 200 + 100 Combine like terms: -100 + 100 = 0 0 + a2 = 200 + 100 a2 = 200 + 100 Combine like terms: 200 + 100 = 300 a2 = 300 Simplifying a2 = 300 Take the square root of each side: a = {-17.320508076, 17.320508076}
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