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Simplifying (4k + -3)(4k + -3)(3k + 1) = 0 Reorder the terms: (-3 + 4k)(4k + -3)(3k + 1) = 0 Reorder the terms: (-3 + 4k)(-3 + 4k)(3k + 1) = 0 Reorder the terms: (-3 + 4k)(-3 + 4k)(1 + 3k) = 0 Multiply (-3 + 4k) * (-3 + 4k) (-3(-3 + 4k) + 4k * (-3 + 4k))(1 + 3k) = 0 ((-3 * -3 + 4k * -3) + 4k * (-3 + 4k))(1 + 3k) = 0 ((9 + -12k) + 4k * (-3 + 4k))(1 + 3k) = 0 (9 + -12k + (-3 * 4k + 4k * 4k))(1 + 3k) = 0 (9 + -12k + (-12k + 16k2))(1 + 3k) = 0 Combine like terms: -12k + -12k = -24k (9 + -24k + 16k2)(1 + 3k) = 0 Multiply (9 + -24k + 16k2) * (1 + 3k) (9(1 + 3k) + -24k * (1 + 3k) + 16k2 * (1 + 3k)) = 0 ((1 * 9 + 3k * 9) + -24k * (1 + 3k) + 16k2 * (1 + 3k)) = 0 ((9 + 27k) + -24k * (1 + 3k) + 16k2 * (1 + 3k)) = 0 (9 + 27k + (1 * -24k + 3k * -24k) + 16k2 * (1 + 3k)) = 0 (9 + 27k + (-24k + -72k2) + 16k2 * (1 + 3k)) = 0 (9 + 27k + -24k + -72k2 + (1 * 16k2 + 3k * 16k2)) = 0 (9 + 27k + -24k + -72k2 + (16k2 + 48k3)) = 0 Combine like terms: 27k + -24k = 3k (9 + 3k + -72k2 + 16k2 + 48k3) = 0 Combine like terms: -72k2 + 16k2 = -56k2 (9 + 3k + -56k2 + 48k3) = 0 Solving 9 + 3k + -56k2 + 48k3 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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