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Simplifying 3X2 + 5X + 3K + -5 = 0 Reorder the terms: -5 + 3K + 5X + 3X2 = 0 Solving -5 + 3K + 5X + 3X2 = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3K + 5X + 5 + 3X2 = 0 + 5 Reorder the terms: -5 + 5 + 3K + 5X + 3X2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3K + 5X + 3X2 = 0 + 5 3K + 5X + 3X2 = 0 + 5 Combine like terms: 0 + 5 = 5 3K + 5X + 3X2 = 5 Add '-5X' to each side of the equation. 3K + 5X + -5X + 3X2 = 5 + -5X Combine like terms: 5X + -5X = 0 3K + 0 + 3X2 = 5 + -5X 3K + 3X2 = 5 + -5X Add '-3X2' to each side of the equation. 3K + 3X2 + -3X2 = 5 + -5X + -3X2 Combine like terms: 3X2 + -3X2 = 0 3K + 0 = 5 + -5X + -3X2 3K = 5 + -5X + -3X2 Divide each side by '3'. K = 1.666666667 + -1.666666667X + -1X2 Simplifying K = 1.666666667 + -1.666666667X + -1X2
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