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Simplifying (a + 3)(a + -3) + -1a(a + 5) = 6 Reorder the terms: (3 + a)(a + -3) + -1a(a + 5) = 6 Reorder the terms: (3 + a)(-3 + a) + -1a(a + 5) = 6 Multiply (3 + a) * (-3 + a) (3(-3 + a) + a(-3 + a)) + -1a(a + 5) = 6 ((-3 * 3 + a * 3) + a(-3 + a)) + -1a(a + 5) = 6 ((-9 + 3a) + a(-3 + a)) + -1a(a + 5) = 6 (-9 + 3a + (-3 * a + a * a)) + -1a(a + 5) = 6 (-9 + 3a + (-3a + a2)) + -1a(a + 5) = 6 Combine like terms: 3a + -3a = 0 (-9 + 0 + a2) + -1a(a + 5) = 6 (-9 + a2) + -1a(a + 5) = 6 Reorder the terms: -9 + a2 + -1a(5 + a) = 6 -9 + a2 + (5 * -1a + a * -1a) = 6 -9 + a2 + (-5a + -1a2) = 6 Reorder the terms: -9 + -5a + a2 + -1a2 = 6 Combine like terms: a2 + -1a2 = 0 -9 + -5a + 0 = 6 -9 + -5a = 6 Solving -9 + -5a = 6 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 + -5a = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -5a = 6 + 9 -5a = 6 + 9 Combine like terms: 6 + 9 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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