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Simplifying 2x2 + (k + -2) * x + 2 = 0 Reorder the terms: 2x2 + (-2 + k) * x + 2 = 0 Reorder the terms for easier multiplication: 2x2 + x(-2 + k) + 2 = 0 2x2 + (-2 * x + k * x) + 2 = 0 Reorder the terms: 2x2 + (kx + -2x) + 2 = 0 2x2 + (kx + -2x) + 2 = 0 Reorder the terms: 2 + kx + -2x + 2x2 = 0 Solving 2 + kx + -2x + 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 + kx + -2x + -2 + 2x2 = 0 + -2 Reorder the terms: 2 + -2 + kx + -2x + 2x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + kx + -2x + 2x2 = 0 + -2 kx + -2x + 2x2 = 0 + -2 Combine like terms: 0 + -2 = -2 kx + -2x + 2x2 = -2 Add '2x' to each side of the equation. kx + -2x + 2x + 2x2 = -2 + 2x Combine like terms: -2x + 2x = 0 kx + 0 + 2x2 = -2 + 2x kx + 2x2 = -2 + 2x Add '-2x2' to each side of the equation. kx + 2x2 + -2x2 = -2 + 2x + -2x2 Combine like terms: 2x2 + -2x2 = 0 kx + 0 = -2 + 2x + -2x2 kx = -2 + 2x + -2x2 Divide each side by 'x'. k = -2x-1 + 2 + -2x Simplifying k = -2x-1 + 2 + -2x Reorder the terms: k = 2 + -2x-1 + -2x
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