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Simplifying x2 + kx + 100 = 0 Reorder the terms: 100 + kx + x2 = 0 Solving 100 + kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + kx + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + kx + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + kx + x2 = 0 + -100 kx + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 kx + x2 = -100 Add '-1x2' to each side of the equation. kx + x2 + -1x2 = -100 + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = -100 + -1x2 kx = -100 + -1x2 Divide each side by 'x'. k = -100x-1 + -1x Simplifying k = -100x-1 + -1x
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