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Simplifying (9 + 2y)(-9 + 2y) = 0 Multiply (9 + 2y) * (-9 + 2y) (9(-9 + 2y) + 2y * (-9 + 2y)) = 0 ((-9 * 9 + 2y * 9) + 2y * (-9 + 2y)) = 0 ((-81 + 18y) + 2y * (-9 + 2y)) = 0 (-81 + 18y + (-9 * 2y + 2y * 2y)) = 0 (-81 + 18y + (-18y + 4y2)) = 0 Combine like terms: 18y + -18y = 0 (-81 + 0 + 4y2) = 0 (-81 + 4y2) = 0 Solving -81 + 4y2 = 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 + 4y2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 4y2 = 0 + 81 4y2 = 0 + 81 Combine like terms: 0 + 81 = 81 4y2 = 81 Divide each side by '4'. y2 = 20.25 Simplifying y2 = 20.25 Take the square root of each side: y = {-4.5, 4.5}
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