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Simplifying 3x2 + 5x + 4k = 0 Reorder the terms: 4k + 5x + 3x2 = 0 Solving 4k + 5x + 3x2 = 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. 4k + 5x + -5x + 3x2 = 0 + -5x Combine like terms: 5x + -5x = 0 4k + 0 + 3x2 = 0 + -5x 4k + 3x2 = 0 + -5x Remove the zero: 4k + 3x2 = -5x Add '-3x2' to each side of the equation. 4k + 3x2 + -3x2 = -5x + -3x2 Combine like terms: 3x2 + -3x2 = 0 4k + 0 = -5x + -3x2 4k = -5x + -3x2 Divide each side by '4'. k = -1.25x + -0.75x2 Simplifying k = -1.25x + -0.75x2
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