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Simplifying 2x2 + 11k + -40 = 0 Reorder the terms: -40 + 11k + 2x2 = 0 Solving -40 + 11k + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 11k + 40 + 2x2 = 0 + 40 Reorder the terms: -40 + 40 + 11k + 2x2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 11k + 2x2 = 0 + 40 11k + 2x2 = 0 + 40 Combine like terms: 0 + 40 = 40 11k + 2x2 = 40 Add '-2x2' to each side of the equation. 11k + 2x2 + -2x2 = 40 + -2x2 Combine like terms: 2x2 + -2x2 = 0 11k + 0 = 40 + -2x2 11k = 40 + -2x2 Divide each side by '11'. k = 3.636363636 + -0.1818181818x2 Simplifying k = 3.636363636 + -0.1818181818x2
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