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Simplifying 2x2 + kx + 32 = 0 Reorder the terms: 32 + kx + 2x2 = 0 Solving 32 + kx + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + kx + -32 + 2x2 = 0 + -32 Reorder the terms: 32 + -32 + kx + 2x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + kx + 2x2 = 0 + -32 kx + 2x2 = 0 + -32 Combine like terms: 0 + -32 = -32 kx + 2x2 = -32 Add '-2x2' to each side of the equation. kx + 2x2 + -2x2 = -32 + -2x2 Combine like terms: 2x2 + -2x2 = 0 kx + 0 = -32 + -2x2 kx = -32 + -2x2 Divide each side by 'x'. k = -32x-1 + -2x Simplifying k = -32x-1 + -2x
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