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Simplifying 3x2 + 20x + 4kx + -13 = 0 Reorder the terms: -13 + 4kx + 20x + 3x2 = 0 Solving -13 + 4kx + 20x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 4kx + 20x + 13 + 3x2 = 0 + 13 Reorder the terms: -13 + 13 + 4kx + 20x + 3x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 4kx + 20x + 3x2 = 0 + 13 4kx + 20x + 3x2 = 0 + 13 Combine like terms: 0 + 13 = 13 4kx + 20x + 3x2 = 13 Add '-20x' to each side of the equation. 4kx + 20x + -20x + 3x2 = 13 + -20x Combine like terms: 20x + -20x = 0 4kx + 0 + 3x2 = 13 + -20x 4kx + 3x2 = 13 + -20x Add '-3x2' to each side of the equation. 4kx + 3x2 + -3x2 = 13 + -20x + -3x2 Combine like terms: 3x2 + -3x2 = 0 4kx + 0 = 13 + -20x + -3x2 4kx = 13 + -20x + -3x2 Divide each side by '4x'. k = 3.25x-1 + -5 + -0.75x Simplifying k = 3.25x-1 + -5 + -0.75x Reorder the terms: k = -5 + 3.25x-1 + -0.75x
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