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Simplifying x2 + kx + -19 = 0 Reorder the terms: -19 + kx + x2 = 0 Solving -19 + kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + kx + 19 + x2 = 0 + 19 Reorder the terms: -19 + 19 + kx + x2 = 0 + 19 Combine like terms: -19 + 19 = 0 0 + kx + x2 = 0 + 19 kx + x2 = 0 + 19 Combine like terms: 0 + 19 = 19 kx + x2 = 19 Add '-1x2' to each side of the equation. kx + x2 + -1x2 = 19 + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = 19 + -1x2 kx = 19 + -1x2 Divide each side by 'x'. k = 19x-1 + -1x Simplifying k = 19x-1 + -1x
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