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Simplifying x2 + kx + -6 = 0 Reorder the terms: -6 + kx + x2 = 0 Solving -6 + kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + kx + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + kx + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + kx + x2 = 0 + 6 kx + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 kx + x2 = 6 Add '-1x2' to each side of the equation. kx + x2 + -1x2 = 6 + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = 6 + -1x2 kx = 6 + -1x2 Divide each side by 'x'. k = 6x-1 + -1x Simplifying k = 6x-1 + -1x
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