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Simplifying (k + -1) * x2 + -1(2k + -1) * x + k + -7 = 0 Reorder the terms: (-1 + k) * x2 + -1(2k + -1) * x + k + -7 = 0 Reorder the terms for easier multiplication: x2(-1 + k) + -1(2k + -1) * x + k + -7 = 0 (-1 * x2 + k * x2) + -1(2k + -1) * x + k + -7 = 0 Reorder the terms: (kx2 + -1x2) + -1(2k + -1) * x + k + -7 = 0 (kx2 + -1x2) + -1(2k + -1) * x + k + -7 = 0 Reorder the terms: kx2 + -1x2 + -1(-1 + 2k) * x + k + -7 = 0 Reorder the terms for easier multiplication: kx2 + -1x2 + -1x(-1 + 2k) + k + -7 = 0 kx2 + -1x2 + (-1 * -1x + 2k * -1x) + k + -7 = 0 Reorder the terms: kx2 + -1x2 + (-2kx + 1x) + k + -7 = 0 kx2 + -1x2 + (-2kx + 1x) + k + -7 = 0 Reorder the terms: -7 + k + -2kx + kx2 + 1x + -1x2 = 0 Solving -7 + k + -2kx + kx2 + 1x + -1x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + k + -2kx + kx2 + 1x + 7 + -1x2 = 0 + 7 Reorder the terms: -7 + 7 + k + -2kx + kx2 + 1x + -1x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + k + -2kx + kx2 + 1x + -1x2 = 0 + 7 k + -2kx + kx2 + 1x + -1x2 = 0 + 7 Combine like terms: 0 + 7 = 7 k + -2kx + kx2 + 1x + -1x2 = 7 Add '-1x' to each side of the equation. k + -2kx + kx2 + 1x + -1x + -1x2 = 7 + -1x Combine like terms: 1x + -1x = 0 k + -2kx + kx2 + 0 + -1x2 = 7 + -1x k + -2kx + kx2 + -1x2 = 7 + -1x Add 'x2' to each side of the equation. k + -2kx + kx2 + -1x2 + x2 = 7 + -1x + x2 Combine like terms: -1x2 + x2 = 0 k + -2kx + kx2 + 0 = 7 + -1x + x2 k + -2kx + kx2 = 7 + -1x + x2 Reorder the terms: -7 + k + -2kx + kx2 + x + -1x2 = 7 + -1x + x2 + -7 + x + -1x2 Reorder the terms: -7 + k + -2kx + kx2 + x + -1x2 = 7 + -7 + -1x + x + x2 + -1x2 Combine like terms: 7 + -7 = 0 -7 + k + -2kx + kx2 + x + -1x2 = 0 + -1x + x + x2 + -1x2 -7 + k + -2kx + kx2 + x + -1x2 = -1x + x + x2 + -1x2 Combine like terms: -1x + x = 0 -7 + k + -2kx + kx2 + x + -1x2 = 0 + x2 + -1x2 -7 + k + -2kx + kx2 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + k + -2kx + kx2 + x + -1x2 = 0 The solution to this equation could not be determined.
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