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Simplifying 8x2 + -106x + 363 = 0 Reorder the terms: 363 + -106x + 8x2 = 0 Solving 363 + -106x + 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'. 45.375 + -13.25x + x2 = 0 Move the constant term to the right: Add '-45.375' to each side of the equation. 45.375 + -13.25x + -45.375 + x2 = 0 + -45.375 Reorder the terms: 45.375 + -45.375 + -13.25x + x2 = 0 + -45.375 Combine like terms: 45.375 + -45.375 = 0.000 0.000 + -13.25x + x2 = 0 + -45.375 -13.25x + x2 = 0 + -45.375 Combine like terms: 0 + -45.375 = -45.375 -13.25x + x2 = -45.375 The x term is -13.25x. Take half its coefficient (-6.625). Square it (43.890625) and add it to both sides. Add '43.890625' to each side of the equation. -13.25x + 43.890625 + x2 = -45.375 + 43.890625 Reorder the terms: 43.890625 + -13.25x + x2 = -45.375 + 43.890625 Combine like terms: -45.375 + 43.890625 = -1.484375 43.890625 + -13.25x + x2 = -1.484375 Factor a perfect square on the left side: (x + -6.625)(x + -6.625) = -1.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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