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Simplifying (k + -2) * x2 + 2(2k + -3) * x + (5k + -6) = 0 Reorder the terms: (-2 + k) * x2 + 2(2k + -3) * x + (5k + -6) = 0 Reorder the terms for easier multiplication: x2(-2 + k) + 2(2k + -3) * x + (5k + -6) = 0 (-2 * x2 + k * x2) + 2(2k + -3) * x + (5k + -6) = 0 Reorder the terms: (kx2 + -2x2) + 2(2k + -3) * x + (5k + -6) = 0 (kx2 + -2x2) + 2(2k + -3) * x + (5k + -6) = 0 Reorder the terms: kx2 + -2x2 + 2(-3 + 2k) * x + (5k + -6) = 0 Reorder the terms for easier multiplication: kx2 + -2x2 + 2x(-3 + 2k) + (5k + -6) = 0 kx2 + -2x2 + (-3 * 2x + 2k * 2x) + (5k + -6) = 0 Reorder the terms: kx2 + -2x2 + (4kx + -6x) + (5k + -6) = 0 kx2 + -2x2 + (4kx + -6x) + (5k + -6) = 0 Reorder the terms: kx2 + -2x2 + 4kx + -6x + (-6 + 5k) = 0 Remove parenthesis around (-6 + 5k) kx2 + -2x2 + 4kx + -6x + -6 + 5k = 0 Reorder the terms: -6 + 5k + 4kx + kx2 + -6x + -2x2 = 0 Solving -6 + 5k + 4kx + kx2 + -6x + -2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5k + 4kx + kx2 + -6x + 6 + -2x2 = 0 + 6 Reorder the terms: -6 + 6 + 5k + 4kx + kx2 + -6x + -2x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5k + 4kx + kx2 + -6x + -2x2 = 0 + 6 5k + 4kx + kx2 + -6x + -2x2 = 0 + 6 Combine like terms: 0 + 6 = 6 5k + 4kx + kx2 + -6x + -2x2 = 6 Add '6x' to each side of the equation. 5k + 4kx + kx2 + -6x + 6x + -2x2 = 6 + 6x Combine like terms: -6x + 6x = 0 5k + 4kx + kx2 + 0 + -2x2 = 6 + 6x 5k + 4kx + kx2 + -2x2 = 6 + 6x Add '2x2' to each side of the equation. 5k + 4kx + kx2 + -2x2 + 2x2 = 6 + 6x + 2x2 Combine like terms: -2x2 + 2x2 = 0 5k + 4kx + kx2 + 0 = 6 + 6x + 2x2 5k + 4kx + kx2 = 6 + 6x + 2x2 Reorder the terms: -6 + 5k + 4kx + kx2 + -6x + -2x2 = 6 + 6x + 2x2 + -6 + -6x + -2x2 Reorder the terms: -6 + 5k + 4kx + kx2 + -6x + -2x2 = 6 + -6 + 6x + -6x + 2x2 + -2x2 Combine like terms: 6 + -6 = 0 -6 + 5k + 4kx + kx2 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2 -6 + 5k + 4kx + kx2 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2 Combine like terms: 6x + -6x = 0 -6 + 5k + 4kx + kx2 + -6x + -2x2 = 0 + 2x2 + -2x2 -6 + 5k + 4kx + kx2 + -6x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + 5k + 4kx + kx2 + -6x + -2x2 = 0 The solution to this equation could not be determined.
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