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Simplifying 6x2 + kx + 20 = 0 Reorder the terms: 20 + kx + 6x2 = 0 Solving 20 + kx + 6x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + kx + -20 + 6x2 = 0 + -20 Reorder the terms: 20 + -20 + kx + 6x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + kx + 6x2 = 0 + -20 kx + 6x2 = 0 + -20 Combine like terms: 0 + -20 = -20 kx + 6x2 = -20 Add '-6x2' to each side of the equation. kx + 6x2 + -6x2 = -20 + -6x2 Combine like terms: 6x2 + -6x2 = 0 kx + 0 = -20 + -6x2 kx = -20 + -6x2 Divide each side by 'x'. k = -20x-1 + -6x Simplifying k = -20x-1 + -6x
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