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Simplifying x2 + kx + 12 = -4 Reorder the terms: 12 + kx + x2 = -4 Solving 12 + kx + x2 = -4 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 + x2 = -4 + -12 Reorder the terms: 12 + -12 + kx + x2 = -4 + -12 Combine like terms: 12 + -12 = 0 0 + kx + x2 = -4 + -12 kx + x2 = -4 + -12 Combine like terms: -4 + -12 = -16 kx + x2 = -16 Add '-1x2' to each side of the equation. kx + x2 + -1x2 = -16 + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = -16 + -1x2 kx = -16 + -1x2 Divide each side by 'x'. k = -16x-1 + -1x Simplifying k = -16x-1 + -1x
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