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Simplifying 2x2 + (3k + -1) * x + -1k + -3 = 0 Reorder the terms: 2x2 + (-1 + 3k) * x + -1k + -3 = 0 Reorder the terms for easier multiplication: 2x2 + x(-1 + 3k) + -1k + -3 = 0 2x2 + (-1 * x + 3k * x) + -1k + -3 = 0 Reorder the terms: 2x2 + (3kx + -1x) + -1k + -3 = 0 2x2 + (3kx + -1x) + -1k + -3 = 0 Reorder the terms: -3 + -1k + 3kx + -1x + 2x2 = 0 Solving -3 + -1k + 3kx + -1x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1k + 3kx + -1x + 3 + 2x2 = 0 + 3 Reorder the terms: -3 + 3 + -1k + 3kx + -1x + 2x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1k + 3kx + -1x + 2x2 = 0 + 3 -1k + 3kx + -1x + 2x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1k + 3kx + -1x + 2x2 = 3 Add 'x' to each side of the equation. -1k + 3kx + -1x + x + 2x2 = 3 + x Combine like terms: -1x + x = 0 -1k + 3kx + 0 + 2x2 = 3 + x -1k + 3kx + 2x2 = 3 + x Add '-2x2' to each side of the equation. -1k + 3kx + 2x2 + -2x2 = 3 + x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1k + 3kx + 0 = 3 + x + -2x2 -1k + 3kx = 3 + x + -2x2 Reorder the terms: -3 + -1k + 3kx + -1x + 2x2 = 3 + x + -2x2 + -3 + -1x + 2x2 Reorder the terms: -3 + -1k + 3kx + -1x + 2x2 = 3 + -3 + x + -1x + -2x2 + 2x2 Combine like terms: 3 + -3 = 0 -3 + -1k + 3kx + -1x + 2x2 = 0 + x + -1x + -2x2 + 2x2 -3 + -1k + 3kx + -1x + 2x2 = x + -1x + -2x2 + 2x2 Combine like terms: x + -1x = 0 -3 + -1k + 3kx + -1x + 2x2 = 0 + -2x2 + 2x2 -3 + -1k + 3kx + -1x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -3 + -1k + 3kx + -1x + 2x2 = 0 The solution to this equation could not be determined.
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