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Simplifying x2 + 4x + 3k = 0 Reorder the terms: 3k + 4x + x2 = 0 Solving 3k + 4x + x2 = 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 + x2 = 0 + -4x Combine like terms: 4x + -4x = 0 3k + 0 + x2 = 0 + -4x 3k + x2 = 0 + -4x Remove the zero: 3k + x2 = -4x Add '-1x2' to each side of the equation. 3k + x2 + -1x2 = -4x + -1x2 Combine like terms: x2 + -1x2 = 0 3k + 0 = -4x + -1x2 3k = -4x + -1x2 Divide each side by '3'. k = -1.333333333x + -0.3333333333x2 Simplifying k = -1.333333333x + -0.3333333333x2
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