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Simplifying (K + -2) * X2 + 2(2K + -3) * X + 4K + 2 = 0 Reorder the terms: (-2 + K) * X2 + 2(2K + -3) * X + 4K + 2 = 0 Reorder the terms for easier multiplication: X2(-2 + K) + 2(2K + -3) * X + 4K + 2 = 0 (-2 * X2 + K * X2) + 2(2K + -3) * X + 4K + 2 = 0 Reorder the terms: (KX2 + -2X2) + 2(2K + -3) * X + 4K + 2 = 0 (KX2 + -2X2) + 2(2K + -3) * X + 4K + 2 = 0 Reorder the terms: KX2 + -2X2 + 2(-3 + 2K) * X + 4K + 2 = 0 Reorder the terms for easier multiplication: KX2 + -2X2 + 2X(-3 + 2K) + 4K + 2 = 0 KX2 + -2X2 + (-3 * 2X + 2K * 2X) + 4K + 2 = 0 Reorder the terms: KX2 + -2X2 + (4KX + -6X) + 4K + 2 = 0 KX2 + -2X2 + (4KX + -6X) + 4K + 2 = 0 Reorder the terms: 2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 Solving 2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4K + 4KX + KX2 + -6X + -2 + -2X2 = 0 + -2 Reorder the terms: 2 + -2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4K + 4KX + KX2 + -6X + -2X2 = 0 + -2 4K + 4KX + KX2 + -6X + -2X2 = 0 + -2 Combine like terms: 0 + -2 = -2 4K + 4KX + KX2 + -6X + -2X2 = -2 Add '6X' to each side of the equation. 4K + 4KX + KX2 + -6X + 6X + -2X2 = -2 + 6X Combine like terms: -6X + 6X = 0 4K + 4KX + KX2 + 0 + -2X2 = -2 + 6X 4K + 4KX + KX2 + -2X2 = -2 + 6X Add '2X2' to each side of the equation. 4K + 4KX + KX2 + -2X2 + 2X2 = -2 + 6X + 2X2 Combine like terms: -2X2 + 2X2 = 0 4K + 4KX + KX2 + 0 = -2 + 6X + 2X2 4K + 4KX + KX2 = -2 + 6X + 2X2 Reorder the terms: 2 + 4K + 4KX + KX2 + -6X + -2X2 = -2 + 6X + 2X2 + 2 + -6X + -2X2 Reorder the terms: 2 + 4K + 4KX + KX2 + -6X + -2X2 = -2 + 2 + 6X + -6X + 2X2 + -2X2 Combine like terms: -2 + 2 = 0 2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 + 6X + -6X + 2X2 + -2X2 2 + 4K + 4KX + KX2 + -6X + -2X2 = 6X + -6X + 2X2 + -2X2 Combine like terms: 6X + -6X = 0 2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 + 2X2 + -2X2 2 + 4K + 4KX + KX2 + -6X + -2X2 = 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 The solution to this equation could not be determined.
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