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Simplifying 8x2 + 17x + 72.25 = 0 Reorder the terms: 72.25 + 17x + 8x2 = 0 Solving 72.25 + 17x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 9.03125 + 2.125x + x2 = 0 Move the constant term to the right: Add '-9.03125' to each side of the equation. 9.03125 + 2.125x + -9.03125 + x2 = 0 + -9.03125 Reorder the terms: 9.03125 + -9.03125 + 2.125x + x2 = 0 + -9.03125 Combine like terms: 9.03125 + -9.03125 = 0.00000 0.00000 + 2.125x + x2 = 0 + -9.03125 2.125x + x2 = 0 + -9.03125 Combine like terms: 0 + -9.03125 = -9.03125 2.125x + x2 = -9.03125 The x term is 2.125x. Take half its coefficient (1.0625). Square it (1.12890625) and add it to both sides. Add '1.12890625' to each side of the equation. 2.125x + 1.12890625 + x2 = -9.03125 + 1.12890625 Reorder the terms: 1.12890625 + 2.125x + x2 = -9.03125 + 1.12890625 Combine like terms: -9.03125 + 1.12890625 = -7.90234375 1.12890625 + 2.125x + x2 = -7.90234375 Factor a perfect square on the left side: (x + 1.0625)(x + 1.0625) = -7.90234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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