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