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Simplifying kx2 + 2(1 + -1k) * x + -3 + k = 0 Reorder the terms for easier multiplication: kx2 + 2x(1 + -1k) + -3 + k = 0 kx2 + (1 * 2x + -1k * 2x) + -3 + k = 0 Reorder the terms: kx2 + (-2kx + 2x) + -3 + k = 0 kx2 + (-2kx + 2x) + -3 + k = 0 Reorder the terms: -3 + k + -2kx + kx2 + 2x = 0 Solving -3 + k + -2kx + kx2 + 2x = 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 + k + -2kx + kx2 + 3 + 2x = 0 + 3 Reorder the terms: -3 + 3 + k + -2kx + kx2 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + k + -2kx + kx2 + 2x = 0 + 3 k + -2kx + kx2 + 2x = 0 + 3 Combine like terms: 0 + 3 = 3 k + -2kx + kx2 + 2x = 3 Add '-2x' to each side of the equation. k + -2kx + kx2 + 2x + -2x = 3 + -2x Combine like terms: 2x + -2x = 0 k + -2kx + kx2 + 0 = 3 + -2x k + -2kx + kx2 = 3 + -2x Reorder the terms: -3 + k + -2kx + kx2 + 2x = 3 + -2x + -3 + 2x Reorder the terms: -3 + k + -2kx + kx2 + 2x = 3 + -3 + -2x + 2x Combine like terms: 3 + -3 = 0 -3 + k + -2kx + kx2 + 2x = 0 + -2x + 2x -3 + k + -2kx + kx2 + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -3 + k + -2kx + kx2 + 2x = 0 The solution to this equation could not be determined.
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