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Simplifying 2x2 + x(1 + -1k) = 0 2x2 + (1 * x + -1k * x) = 0 Reorder the terms: 2x2 + (-1kx + 1x) = 0 2x2 + (-1kx + 1x) = 0 Reorder the terms: -1kx + 1x + 2x2 = 0 Solving -1kx + 1x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. -1kx + 1x + -1x + 2x2 = 0 + -1x Combine like terms: 1x + -1x = 0 -1kx + 0 + 2x2 = 0 + -1x -1kx + 2x2 = 0 + -1x Remove the zero: -1kx + 2x2 = -1x Add '-2x2' to each side of the equation. -1kx + 2x2 + -2x2 = -1x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1kx + 0 = -1x + -2x2 -1kx = -1x + -2x2 Divide each side by '-1x'. k = 1 + 2x Simplifying k = 1 + 2x
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