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Simplifying (a + 3)(a + -3) = 40 Reorder the terms: (3 + a)(a + -3) = 40 Reorder the terms: (3 + a)(-3 + a) = 40 Multiply (3 + a) * (-3 + a) (3(-3 + a) + a(-3 + a)) = 40 ((-3 * 3 + a * 3) + a(-3 + a)) = 40 ((-9 + 3a) + a(-3 + a)) = 40 (-9 + 3a + (-3 * a + a * a)) = 40 (-9 + 3a + (-3a + a2)) = 40 Combine like terms: 3a + -3a = 0 (-9 + 0 + a2) = 40 (-9 + a2) = 40 Solving -9 + a2 = 40 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + a2 = 40 + 9 Combine like terms: -9 + 9 = 0 0 + a2 = 40 + 9 a2 = 40 + 9 Combine like terms: 40 + 9 = 49 a2 = 49 Simplifying a2 = 49 Take the square root of each side: a = {-7, 7}
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