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Simplifying 9x2 + -77x + 173 = 0 Reorder the terms: 173 + -77x + 9x2 = 0 Solving 173 + -77x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 19.22222222 + -8.555555556x + x2 = 0 Move the constant term to the right: Add '-19.22222222' to each side of the equation. 19.22222222 + -8.555555556x + -19.22222222 + x2 = 0 + -19.22222222 Reorder the terms: 19.22222222 + -19.22222222 + -8.555555556x + x2 = 0 + -19.22222222 Combine like terms: 19.22222222 + -19.22222222 = 0.00000000 0.00000000 + -8.555555556x + x2 = 0 + -19.22222222 -8.555555556x + x2 = 0 + -19.22222222 Combine like terms: 0 + -19.22222222 = -19.22222222 -8.555555556x + x2 = -19.22222222 The x term is -8.555555556x. Take half its coefficient (-4.277777778). Square it (18.29938272) and add it to both sides. Add '18.29938272' to each side of the equation. -8.555555556x + 18.29938272 + x2 = -19.22222222 + 18.29938272 Reorder the terms: 18.29938272 + -8.555555556x + x2 = -19.22222222 + 18.29938272 Combine like terms: -19.22222222 + 18.29938272 = -0.9228395 18.29938272 + -8.555555556x + x2 = -0.9228395 Factor a perfect square on the left side: (x + -4.277777778)(x + -4.277777778) = -0.9228395 Can't calculate square root of the right side. The solution to this equation could not be determined.
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