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Simplifying 8x2 + -17x + 47 = 0 Reorder the terms: 47 + -17x + 8x2 = 0 Solving 47 + -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'. 5.875 + -2.125x + x2 = 0 Move the constant term to the right: Add '-5.875' to each side of the equation. 5.875 + -2.125x + -5.875 + x2 = 0 + -5.875 Reorder the terms: 5.875 + -5.875 + -2.125x + x2 = 0 + -5.875 Combine like terms: 5.875 + -5.875 = 0.000 0.000 + -2.125x + x2 = 0 + -5.875 -2.125x + x2 = 0 + -5.875 Combine like terms: 0 + -5.875 = -5.875 -2.125x + x2 = -5.875 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 = -5.875 + 1.12890625 Reorder the terms: 1.12890625 + -2.125x + x2 = -5.875 + 1.12890625 Combine like terms: -5.875 + 1.12890625 = -4.74609375 1.12890625 + -2.125x + x2 = -4.74609375 Factor a perfect square on the left side: (x + -1.0625)(x + -1.0625) = -4.74609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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