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Simplifying 3x2 + kx + 5x + 3 = 0 Reorder the terms: 3 + kx + 5x + 3x2 = 0 Solving 3 + kx + 5x + 3x2 = 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 + kx + 5x + -3 + 3x2 = 0 + -3 Reorder the terms: 3 + -3 + kx + 5x + 3x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + kx + 5x + 3x2 = 0 + -3 kx + 5x + 3x2 = 0 + -3 Combine like terms: 0 + -3 = -3 kx + 5x + 3x2 = -3 Add '-5x' to each side of the equation. kx + 5x + -5x + 3x2 = -3 + -5x Combine like terms: 5x + -5x = 0 kx + 0 + 3x2 = -3 + -5x kx + 3x2 = -3 + -5x Add '-3x2' to each side of the equation. kx + 3x2 + -3x2 = -3 + -5x + -3x2 Combine like terms: 3x2 + -3x2 = 0 kx + 0 = -3 + -5x + -3x2 kx = -3 + -5x + -3x2 Divide each side by 'x'. k = -3x-1 + -5 + -3x Simplifying k = -3x-1 + -5 + -3x Reorder the terms: k = -5 + -3x-1 + -3x
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