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Simplifying 2x2 + -4kx + 3 = 0 Reorder the terms: 3 + -4kx + 2x2 = 0 Solving 3 + -4kx + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4kx + -3 + 2x2 = 0 + -3 Reorder the terms: 3 + -3 + -4kx + 2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4kx + 2x2 = 0 + -3 -4kx + 2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4kx + 2x2 = -3 Add '-2x2' to each side of the equation. -4kx + 2x2 + -2x2 = -3 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4kx + 0 = -3 + -2x2 -4kx = -3 + -2x2 Divide each side by '-4x'. k = 0.75x-1 + 0.5x Simplifying k = 0.75x-1 + 0.5x
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