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Simplifying (9 + 2k)(3 + 4q) = 0 Multiply (9 + 2k) * (3 + 4q) (9(3 + 4q) + 2k * (3 + 4q)) = 0 ((3 * 9 + 4q * 9) + 2k * (3 + 4q)) = 0 ((27 + 36q) + 2k * (3 + 4q)) = 0 (27 + 36q + (3 * 2k + 4q * 2k)) = 0 (27 + 36q + (6k + 8kq)) = 0 Reorder the terms: (27 + 6k + 8kq + 36q) = 0 (27 + 6k + 8kq + 36q) = 0 Solving 27 + 6k + 8kq + 36q = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 6k + 8kq + -27 + 36q = 0 + -27 Reorder the terms: 27 + -27 + 6k + 8kq + 36q = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6k + 8kq + 36q = 0 + -27 6k + 8kq + 36q = 0 + -27 Combine like terms: 0 + -27 = -27 6k + 8kq + 36q = -27 Add '-36q' to each side of the equation. 6k + 8kq + 36q + -36q = -27 + -36q Combine like terms: 36q + -36q = 0 6k + 8kq + 0 = -27 + -36q 6k + 8kq = -27 + -36q Reorder the terms: 27 + 6k + 8kq + 36q = -27 + -36q + 27 + 36q Reorder the terms: 27 + 6k + 8kq + 36q = -27 + 27 + -36q + 36q Combine like terms: -27 + 27 = 0 27 + 6k + 8kq + 36q = 0 + -36q + 36q 27 + 6k + 8kq + 36q = -36q + 36q Combine like terms: -36q + 36q = 0 27 + 6k + 8kq + 36q = 0 The solution to this equation could not be determined.
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