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Simplifying 2x2 + -1x + -1(10 + k) = 0 2x2 + -1x + (10 * -1 + k * -1) = 0 2x2 + -1x + (-10 + -1k) = 0 Reorder the terms: -10 + -1k + -1x + 2x2 = 0 Solving -10 + -1k + -1x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -1k + -1x + 10 + 2x2 = 0 + 10 Reorder the terms: -10 + 10 + -1k + -1x + 2x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1k + -1x + 2x2 = 0 + 10 -1k + -1x + 2x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -1k + -1x + 2x2 = 10 Add 'x' to each side of the equation. -1k + -1x + x + 2x2 = 10 + x Combine like terms: -1x + x = 0 -1k + 0 + 2x2 = 10 + x -1k + 2x2 = 10 + x Add '-2x2' to each side of the equation. -1k + 2x2 + -2x2 = 10 + x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1k + 0 = 10 + x + -2x2 -1k = 10 + x + -2x2 Divide each side by '-1'. k = -10 + -1x + 2x2 Simplifying k = -10 + -1x + 2x2
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