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Simplifying 2x2 + -3x + 4k = 0 Reorder the terms: 4k + -3x + 2x2 = 0 Solving 4k + -3x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3x' to each side of the equation. 4k + -3x + 3x + 2x2 = 0 + 3x Combine like terms: -3x + 3x = 0 4k + 0 + 2x2 = 0 + 3x 4k + 2x2 = 0 + 3x Remove the zero: 4k + 2x2 = 3x Add '-2x2' to each side of the equation. 4k + 2x2 + -2x2 = 3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 4k + 0 = 3x + -2x2 4k = 3x + -2x2 Divide each side by '4'. k = 0.75x + -0.5x2 Simplifying k = 0.75x + -0.5x2
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