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Simplifying (3x2) + -6x + 4k = 0 Reorder the terms: 4k + -6x + (3x2) = 0 Solving 4k + -6x + (3x2) = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6x' to each side of the equation. 4k + -6x + 6x + (3x2) = 0 + 6x Combine like terms: -6x + 6x = 0 4k + 0 + (3x2) = 0 + 6x 4k + (3x2) = 0 + 6x Remove the zero: 4k + (3x2) = 6x Add '(-3x2)' to each side of the equation. 4k + (3x2) + (-3x2) = 6x + (-3x2) Combine like terms: (3x2) + (-3x2) = 0 4k + 0 = 6x + (-3x2) 4k = 6x + (-3x2) Divide each side by '4'. k = 1.5x + (-0.75x2) Simplifying k = 1.5x + (-0.75x2)
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