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Simplifying 5x2 + -5x + -2k = 0 Reorder the terms: -2k + -5x + 5x2 = 0 Solving -2k + -5x + 5x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5x' to each side of the equation. -2k + -5x + 5x + 5x2 = 0 + 5x Combine like terms: -5x + 5x = 0 -2k + 0 + 5x2 = 0 + 5x -2k + 5x2 = 0 + 5x Remove the zero: -2k + 5x2 = 5x Add '-5x2' to each side of the equation. -2k + 5x2 + -5x2 = 5x + -5x2 Combine like terms: 5x2 + -5x2 = 0 -2k + 0 = 5x + -5x2 -2k = 5x + -5x2 Divide each side by '-2'. k = -2.5x + 2.5x2 Simplifying k = -2.5x + 2.5x2
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