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Simplifying (a + -1)(2a + 2) = 0 Reorder the terms: (-1 + a)(2a + 2) = 0 Reorder the terms: (-1 + a)(2 + 2a) = 0 Multiply (-1 + a) * (2 + 2a) (-1(2 + 2a) + a(2 + 2a)) = 0 ((2 * -1 + 2a * -1) + a(2 + 2a)) = 0 ((-2 + -2a) + a(2 + 2a)) = 0 (-2 + -2a + (2 * a + 2a * a)) = 0 (-2 + -2a + (2a + 2a2)) = 0 Combine like terms: -2a + 2a = 0 (-2 + 0 + 2a2) = 0 (-2 + 2a2) = 0 Solving -2 + 2a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2a2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2a2 = 0 + 2 2a2 = 0 + 2 Combine like terms: 0 + 2 = 2 2a2 = 2 Divide each side by '2'. a2 = 1 Simplifying a2 = 1 Take the square root of each side: a = {-1, 1}
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