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Simplifying (3 + -2k)(3 + 2k) = 0 Multiply (3 + -2k) * (3 + 2k) (3(3 + 2k) + -2k * (3 + 2k)) = 0 ((3 * 3 + 2k * 3) + -2k * (3 + 2k)) = 0 ((9 + 6k) + -2k * (3 + 2k)) = 0 (9 + 6k + (3 * -2k + 2k * -2k)) = 0 (9 + 6k + (-6k + -4k2)) = 0 Combine like terms: 6k + -6k = 0 (9 + 0 + -4k2) = 0 (9 + -4k2) = 0 Solving 9 + -4k2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4k2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4k2 = 0 + -9 -4k2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4k2 = -9 Divide each side by '-4'. k2 = 2.25 Simplifying k2 = 2.25 Take the square root of each side: k = {-1.5, 1.5}
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