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Simplifying (2k + 2) * x2 + (4 + -4k) * x + k + -2 = 0 Reorder the terms: (2 + 2k) * x2 + (4 + -4k) * x + k + -2 = 0 Reorder the terms for easier multiplication: x2(2 + 2k) + (4 + -4k) * x + k + -2 = 0 (2 * x2 + 2k * x2) + (4 + -4k) * x + k + -2 = 0 Reorder the terms: (2kx2 + 2x2) + (4 + -4k) * x + k + -2 = 0 (2kx2 + 2x2) + (4 + -4k) * x + k + -2 = 0 Reorder the terms for easier multiplication: 2kx2 + 2x2 + x(4 + -4k) + k + -2 = 0 2kx2 + 2x2 + (4 * x + -4k * x) + k + -2 = 0 Reorder the terms: 2kx2 + 2x2 + (-4kx + 4x) + k + -2 = 0 2kx2 + 2x2 + (-4kx + 4x) + k + -2 = 0 Reorder the terms: -2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 Solving -2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + k + -4kx + 2kx2 + 4x + 2 + 2x2 = 0 + 2 Reorder the terms: -2 + 2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + k + -4kx + 2kx2 + 4x + 2x2 = 0 + 2 k + -4kx + 2kx2 + 4x + 2x2 = 0 + 2 Combine like terms: 0 + 2 = 2 k + -4kx + 2kx2 + 4x + 2x2 = 2 Add '-4x' to each side of the equation. k + -4kx + 2kx2 + 4x + -4x + 2x2 = 2 + -4x Combine like terms: 4x + -4x = 0 k + -4kx + 2kx2 + 0 + 2x2 = 2 + -4x k + -4kx + 2kx2 + 2x2 = 2 + -4x Add '-2x2' to each side of the equation. k + -4kx + 2kx2 + 2x2 + -2x2 = 2 + -4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 k + -4kx + 2kx2 + 0 = 2 + -4x + -2x2 k + -4kx + 2kx2 = 2 + -4x + -2x2 Reorder the terms: -2 + k + -4kx + 2kx2 + 4x + 2x2 = 2 + -4x + -2x2 + -2 + 4x + 2x2 Reorder the terms: -2 + k + -4kx + 2kx2 + 4x + 2x2 = 2 + -2 + -4x + 4x + -2x2 + 2x2 Combine like terms: 2 + -2 = 0 -2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 + -4x + 4x + -2x2 + 2x2 -2 + k + -4kx + 2kx2 + 4x + 2x2 = -4x + 4x + -2x2 + 2x2 Combine like terms: -4x + 4x = 0 -2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 + -2x2 + 2x2 -2 + k + -4kx + 2kx2 + 4x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 The solution to this equation could not be determined.
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