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Simplifying (y + -9)(y + 9) = 0 Reorder the terms: (-9 + y)(y + 9) = 0 Reorder the terms: (-9 + y)(9 + y) = 0 Multiply (-9 + y) * (9 + y) (-9(9 + y) + y(9 + y)) = 0 ((9 * -9 + y * -9) + y(9 + y)) = 0 ((-81 + -9y) + y(9 + y)) = 0 (-81 + -9y + (9 * y + y * y)) = 0 (-81 + -9y + (9y + y2)) = 0 Combine like terms: -9y + 9y = 0 (-81 + 0 + y2) = 0 (-81 + y2) = 0 Solving -81 + y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + y2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + y2 = 0 + 81 y2 = 0 + 81 Combine like terms: 0 + 81 = 81 y2 = 81 Simplifying y2 = 81 Take the square root of each side: y = {-9, 9}
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