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Simplifying x2 + -1(k + -2) * x + -12 = 0 Reorder the terms: x2 + -1(-2 + k) * x + -12 = 0 Reorder the terms for easier multiplication: x2 + -1x(-2 + k) + -12 = 0 x2 + (-2 * -1x + k * -1x) + -12 = 0 Reorder the terms: x2 + (-1kx + 2x) + -12 = 0 x2 + (-1kx + 2x) + -12 = 0 Reorder the terms: -12 + -1kx + 2x + x2 = 0 Solving -12 + -1kx + 2x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1kx + 2x + 12 + x2 = 0 + 12 Reorder the terms: -12 + 12 + -1kx + 2x + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1kx + 2x + x2 = 0 + 12 -1kx + 2x + x2 = 0 + 12 Combine like terms: 0 + 12 = 12 -1kx + 2x + x2 = 12 Add '-2x' to each side of the equation. -1kx + 2x + -2x + x2 = 12 + -2x Combine like terms: 2x + -2x = 0 -1kx + 0 + x2 = 12 + -2x -1kx + x2 = 12 + -2x Add '-1x2' to each side of the equation. -1kx + x2 + -1x2 = 12 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 -1kx + 0 = 12 + -2x + -1x2 -1kx = 12 + -2x + -1x2 Divide each side by '-1x'. k = -12x-1 + 2 + x Simplifying k = -12x-1 + 2 + x Reorder the terms: k = 2 + -12x-1 + x
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