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Simplifying 2x2 + 4x + -3k = 0 Reorder the terms: -3k + 4x + 2x2 = 0 Solving -3k + 4x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4x' to each side of the equation. -3k + 4x + -4x + 2x2 = 0 + -4x Combine like terms: 4x + -4x = 0 -3k + 0 + 2x2 = 0 + -4x -3k + 2x2 = 0 + -4x Remove the zero: -3k + 2x2 = -4x Add '-2x2' to each side of the equation. -3k + 2x2 + -2x2 = -4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3k + 0 = -4x + -2x2 -3k = -4x + -2x2 Divide each side by '-3'. k = 1.333333333x + 0.6666666667x2 Simplifying k = 1.333333333x + 0.6666666667x2
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