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Simplifying (2x + -9)(2x + 9) = 0 Reorder the terms: (-9 + 2x)(2x + 9) = 0 Reorder the terms: (-9 + 2x)(9 + 2x) = 0 Multiply (-9 + 2x) * (9 + 2x) (-9(9 + 2x) + 2x * (9 + 2x)) = 0 ((9 * -9 + 2x * -9) + 2x * (9 + 2x)) = 0 ((-81 + -18x) + 2x * (9 + 2x)) = 0 (-81 + -18x + (9 * 2x + 2x * 2x)) = 0 (-81 + -18x + (18x + 4x2)) = 0 Combine like terms: -18x + 18x = 0 (-81 + 0 + 4x2) = 0 (-81 + 4x2) = 0 Solving -81 + 4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 4x2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 4x2 = 0 + 81 4x2 = 0 + 81 Combine like terms: 0 + 81 = 81 4x2 = 81 Divide each side by '4'. x2 = 20.25 Simplifying x2 = 20.25 Take the square root of each side: x = {-4.5, 4.5}
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