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Simplifying 3x2 + kx + -81 = 0 Reorder the terms: -81 + kx + 3x2 = 0 Solving -81 + kx + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '81' to each side of the equation. -81 + kx + 81 + 3x2 = 0 + 81 Reorder the terms: -81 + 81 + kx + 3x2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + kx + 3x2 = 0 + 81 kx + 3x2 = 0 + 81 Combine like terms: 0 + 81 = 81 kx + 3x2 = 81 Add '-3x2' to each side of the equation. kx + 3x2 + -3x2 = 81 + -3x2 Combine like terms: 3x2 + -3x2 = 0 kx + 0 = 81 + -3x2 kx = 81 + -3x2 Divide each side by 'x'. k = 81x-1 + -3x Simplifying k = 81x-1 + -3x
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