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Simplifying x2 + -6x + kx + 2 = 0 Reorder the terms: 2 + kx + -6x + x2 = 0 Solving 2 + kx + -6x + x2 = 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 + -6x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + kx + -6x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + kx + -6x + x2 = 0 + -2 kx + -6x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 kx + -6x + x2 = -2 Add '6x' to each side of the equation. kx + -6x + 6x + x2 = -2 + 6x Combine like terms: -6x + 6x = 0 kx + 0 + x2 = -2 + 6x kx + x2 = -2 + 6x Add '-1x2' to each side of the equation. kx + x2 + -1x2 = -2 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = -2 + 6x + -1x2 kx = -2 + 6x + -1x2 Divide each side by 'x'. k = -2x-1 + 6 + -1x Simplifying k = -2x-1 + 6 + -1x Reorder the terms: k = 6 + -2x-1 + -1x
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