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Simplifying x2 + kx + -15 = -3 Reorder the terms: -15 + kx + x2 = -3 Solving -15 + kx + x2 = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + kx + 15 + x2 = -3 + 15 Reorder the terms: -15 + 15 + kx + x2 = -3 + 15 Combine like terms: -15 + 15 = 0 0 + kx + x2 = -3 + 15 kx + x2 = -3 + 15 Combine like terms: -3 + 15 = 12 kx + x2 = 12 Add '-1x2' to each side of the equation. kx + x2 + -1x2 = 12 + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = 12 + -1x2 kx = 12 + -1x2 Divide each side by 'x'. k = 12x-1 + -1x Simplifying k = 12x-1 + -1x
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