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