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Simplifying 3x2 + kx + 12 = 0 Reorder the terms: 12 + kx + 3x2 = 0 Solving 12 + kx + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + kx + -12 + 3x2 = 0 + -12 Reorder the terms: 12 + -12 + kx + 3x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + kx + 3x2 = 0 + -12 kx + 3x2 = 0 + -12 Combine like terms: 0 + -12 = -12 kx + 3x2 = -12 Add '-3x2' to each side of the equation. kx + 3x2 + -3x2 = -12 + -3x2 Combine like terms: 3x2 + -3x2 = 0 kx + 0 = -12 + -3x2 kx = -12 + -3x2 Divide each side by 'x'. k = -12x-1 + -3x Simplifying k = -12x-1 + -3x
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