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Simplifying (k + -1) * x2 + (k + 4) * x + k + 7 = 0 Reorder the terms: (-1 + k) * x2 + (k + 4) * x + k + 7 = 0 Reorder the terms for easier multiplication: x2(-1 + k) + (k + 4) * x + k + 7 = 0 (-1 * x2 + k * x2) + (k + 4) * x + k + 7 = 0 Reorder the terms: (kx2 + -1x2) + (k + 4) * x + k + 7 = 0 (kx2 + -1x2) + (k + 4) * x + k + 7 = 0 Reorder the terms: kx2 + -1x2 + (4 + k) * x + k + 7 = 0 Reorder the terms for easier multiplication: kx2 + -1x2 + x(4 + k) + k + 7 = 0 kx2 + -1x2 + (4 * x + k * x) + k + 7 = 0 Reorder the terms: kx2 + -1x2 + (kx + 4x) + k + 7 = 0 kx2 + -1x2 + (kx + 4x) + k + 7 = 0 Reorder the terms: 7 + k + kx + kx2 + 4x + -1x2 = 0 Solving 7 + k + kx + kx2 + 4x + -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 + kx + kx2 + 4x + -7 + -1x2 = 0 + -7 Reorder the terms: 7 + -7 + k + kx + kx2 + 4x + -1x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k + kx + kx2 + 4x + -1x2 = 0 + -7 k + kx + kx2 + 4x + -1x2 = 0 + -7 Combine like terms: 0 + -7 = -7 k + kx + kx2 + 4x + -1x2 = -7 Add '-4x' to each side of the equation. k + kx + kx2 + 4x + -4x + -1x2 = -7 + -4x Combine like terms: 4x + -4x = 0 k + kx + kx2 + 0 + -1x2 = -7 + -4x k + kx + kx2 + -1x2 = -7 + -4x Add 'x2' to each side of the equation. k + kx + kx2 + -1x2 + x2 = -7 + -4x + x2 Combine like terms: -1x2 + x2 = 0 k + kx + kx2 + 0 = -7 + -4x + x2 k + kx + kx2 = -7 + -4x + x2 Reorder the terms: 7 + k + kx + kx2 + 4x + -1x2 = -7 + -4x + x2 + 7 + 4x + -1x2 Reorder the terms: 7 + k + kx + kx2 + 4x + -1x2 = -7 + 7 + -4x + 4x + x2 + -1x2 Combine like terms: -7 + 7 = 0 7 + k + kx + kx2 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2 7 + k + kx + kx2 + 4x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 7 + k + kx + kx2 + 4x + -1x2 = 0 + x2 + -1x2 7 + k + kx + kx2 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 + k + kx + kx2 + 4x + -1x2 = 0 The solution to this equation could not be determined.
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