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Simplifying 3x2 + -12x + -4kx + -20 = 0 Reorder the terms: -20 + -4kx + -12x + 3x2 = 0 Solving -20 + -4kx + -12x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -4kx + -12x + 20 + 3x2 = 0 + 20 Reorder the terms: -20 + 20 + -4kx + -12x + 3x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -4kx + -12x + 3x2 = 0 + 20 -4kx + -12x + 3x2 = 0 + 20 Combine like terms: 0 + 20 = 20 -4kx + -12x + 3x2 = 20 Add '12x' to each side of the equation. -4kx + -12x + 12x + 3x2 = 20 + 12x Combine like terms: -12x + 12x = 0 -4kx + 0 + 3x2 = 20 + 12x -4kx + 3x2 = 20 + 12x Add '-3x2' to each side of the equation. -4kx + 3x2 + -3x2 = 20 + 12x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4kx + 0 = 20 + 12x + -3x2 -4kx = 20 + 12x + -3x2 Divide each side by '-4x'. k = -5x-1 + -3 + 0.75x Simplifying k = -5x-1 + -3 + 0.75x Reorder the terms: k = -3 + -5x-1 + 0.75x
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