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Simplifying 2x2 + kx + 9 = 0 Reorder the terms: 9 + kx + 2x2 = 0 Solving 9 + kx + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + kx + -9 + 2x2 = 0 + -9 Reorder the terms: 9 + -9 + kx + 2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + kx + 2x2 = 0 + -9 kx + 2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 kx + 2x2 = -9 Add '-2x2' to each side of the equation. kx + 2x2 + -2x2 = -9 + -2x2 Combine like terms: 2x2 + -2x2 = 0 kx + 0 = -9 + -2x2 kx = -9 + -2x2 Divide each side by 'x'. k = -9x-1 + -2x Simplifying k = -9x-1 + -2x
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