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