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Simplifying 2kx2 + -2(k + 4) * x + -1 = 0 Reorder the terms: 2kx2 + -2(4 + k) * x + -1 = 0 Reorder the terms for easier multiplication: 2kx2 + -2x(4 + k) + -1 = 0 2kx2 + (4 * -2x + k * -2x) + -1 = 0 Reorder the terms: 2kx2 + (-2kx + -8x) + -1 = 0 2kx2 + (-2kx + -8x) + -1 = 0 Reorder the terms: -1 + -2kx + 2kx2 + -8x = 0 Solving -1 + -2kx + 2kx2 + -8x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2kx + 2kx2 + 1 + -8x = 0 + 1 Reorder the terms: -1 + 1 + -2kx + 2kx2 + -8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2kx + 2kx2 + -8x = 0 + 1 -2kx + 2kx2 + -8x = 0 + 1 Combine like terms: 0 + 1 = 1 -2kx + 2kx2 + -8x = 1 Add '8x' to each side of the equation. -2kx + 2kx2 + -8x + 8x = 1 + 8x Combine like terms: -8x + 8x = 0 -2kx + 2kx2 + 0 = 1 + 8x -2kx + 2kx2 = 1 + 8x Reorder the terms: -1 + -2kx + 2kx2 + -8x = 1 + 8x + -1 + -8x Reorder the terms: -1 + -2kx + 2kx2 + -8x = 1 + -1 + 8x + -8x Combine like terms: 1 + -1 = 0 -1 + -2kx + 2kx2 + -8x = 0 + 8x + -8x -1 + -2kx + 2kx2 + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -2kx + 2kx2 + -8x = 0 The solution to this equation could not be determined.
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