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Simplifying 12x2 + kx + 14 = 0 Reorder the terms: 14 + kx + 12x2 = 0 Solving 14 + kx + 12x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + kx + -14 + 12x2 = 0 + -14 Reorder the terms: 14 + -14 + kx + 12x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + kx + 12x2 = 0 + -14 kx + 12x2 = 0 + -14 Combine like terms: 0 + -14 = -14 kx + 12x2 = -14 Add '-12x2' to each side of the equation. kx + 12x2 + -12x2 = -14 + -12x2 Combine like terms: 12x2 + -12x2 = 0 kx + 0 = -14 + -12x2 kx = -14 + -12x2 Divide each side by 'x'. k = -14x-1 + -12x Simplifying k = -14x-1 + -12x
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