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Simplifying x2 + (k + -10) * x + 9 = 0 Reorder the terms: x2 + (-10 + k) * x + 9 = 0 Reorder the terms for easier multiplication: x2 + x(-10 + k) + 9 = 0 x2 + (-10 * x + k * x) + 9 = 0 Reorder the terms: x2 + (kx + -10x) + 9 = 0 x2 + (kx + -10x) + 9 = 0 Reorder the terms: 9 + kx + -10x + x2 = 0 Solving 9 + kx + -10x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + kx + -10x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + kx + -10x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + kx + -10x + x2 = 0 + -9 kx + -10x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 kx + -10x + x2 = -9 Add '10x' to each side of the equation. kx + -10x + 10x + x2 = -9 + 10x Combine like terms: -10x + 10x = 0 kx + 0 + x2 = -9 + 10x kx + x2 = -9 + 10x Add '-1x2' to each side of the equation. kx + x2 + -1x2 = -9 + 10x + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = -9 + 10x + -1x2 kx = -9 + 10x + -1x2 Divide each side by 'x'. k = -9x-1 + 10 + -1x Simplifying k = -9x-1 + 10 + -1x Reorder the terms: k = 10 + -9x-1 + -1x
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