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