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Simplifying (a + 3)(a + -3) = a2 + 2a + -35 Reorder the terms: (3 + a)(a + -3) = a2 + 2a + -35 Reorder the terms: (3 + a)(-3 + a) = a2 + 2a + -35 Multiply (3 + a) * (-3 + a) (3(-3 + a) + a(-3 + a)) = a2 + 2a + -35 ((-3 * 3 + a * 3) + a(-3 + a)) = a2 + 2a + -35 ((-9 + 3a) + a(-3 + a)) = a2 + 2a + -35 (-9 + 3a + (-3 * a + a * a)) = a2 + 2a + -35 (-9 + 3a + (-3a + a2)) = a2 + 2a + -35 Combine like terms: 3a + -3a = 0 (-9 + 0 + a2) = a2 + 2a + -35 (-9 + a2) = a2 + 2a + -35 Reorder the terms: -9 + a2 = -35 + 2a + a2 Add '-1a2' to each side of the equation. -9 + a2 + -1a2 = -35 + 2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -9 + 0 = -35 + 2a + a2 + -1a2 -9 = -35 + 2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -9 = -35 + 2a + 0 -9 = -35 + 2a Solving -9 = -35 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -9 + -2a = -35 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + -2a = -35 + 0 -9 + -2a = -35 Add '9' to each side of the equation. -9 + 9 + -2a = -35 + 9 Combine like terms: -9 + 9 = 0 0 + -2a = -35 + 9 -2a = -35 + 9 Combine like terms: -35 + 9 = -26 -2a = -26 Divide each side by '-2'. a = 13 Simplifying a = 13
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