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Simplifying 4x2 + 6x + 4k = 0 Reorder the terms: 4k + 6x + 4x2 = 0 Solving 4k + 6x + 4x2 = 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 + 4x2 = 0 + -6x Combine like terms: 6x + -6x = 0 4k + 0 + 4x2 = 0 + -6x 4k + 4x2 = 0 + -6x Remove the zero: 4k + 4x2 = -6x Add '-4x2' to each side of the equation. 4k + 4x2 + -4x2 = -6x + -4x2 Combine like terms: 4x2 + -4x2 = 0 4k + 0 = -6x + -4x2 4k = -6x + -4x2 Divide each side by '4'. k = -1.5x + -1x2 Simplifying k = -1.5x + -1x2
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