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