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Simplifying 4x2 + 11x + 32 = 0 Reorder the terms: 32 + 11x + 4x2 = 0 Solving 32 + 11x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 8 + 2.75x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + 2.75x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 2.75x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2.75x + x2 = 0 + -8 2.75x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 2.75x + x2 = -8 The x term is 2.75x. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75x + 1.890625 + x2 = -8 + 1.890625 Reorder the terms: 1.890625 + 2.75x + x2 = -8 + 1.890625 Combine like terms: -8 + 1.890625 = -6.109375 1.890625 + 2.75x + x2 = -6.109375 Factor a perfect square on the left side: (x + 1.375)(x + 1.375) = -6.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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