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Simplifying 2x2 + x + 3k = 0 Reorder the terms: 3k + x + 2x2 = 0 Solving 3k + x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. 3k + x + -1x + 2x2 = 0 + -1x Combine like terms: x + -1x = 0 3k + 0 + 2x2 = 0 + -1x 3k + 2x2 = 0 + -1x Remove the zero: 3k + 2x2 = -1x Add '-2x2' to each side of the equation. 3k + 2x2 + -2x2 = -1x + -2x2 Combine like terms: 2x2 + -2x2 = 0 3k + 0 = -1x + -2x2 3k = -1x + -2x2 Divide each side by '3'. k = -0.3333333333x + -0.6666666667x2 Simplifying k = -0.3333333333x + -0.6666666667x2
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