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Simplifying -2x2 + 38x + -361 = 0 Reorder the terms: -361 + 38x + -2x2 = 0 Solving -361 + 38x + -2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 180.5 + -19x + x2 = 0 Move the constant term to the right: Add '-180.5' to each side of the equation. 180.5 + -19x + -180.5 + x2 = 0 + -180.5 Reorder the terms: 180.5 + -180.5 + -19x + x2 = 0 + -180.5 Combine like terms: 180.5 + -180.5 = 0.0 0.0 + -19x + x2 = 0 + -180.5 -19x + x2 = 0 + -180.5 Combine like terms: 0 + -180.5 = -180.5 -19x + x2 = -180.5 The x term is -19x. Take half its coefficient (-9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. -19x + 90.25 + x2 = -180.5 + 90.25 Reorder the terms: 90.25 + -19x + x2 = -180.5 + 90.25 Combine like terms: -180.5 + 90.25 = -90.25 90.25 + -19x + x2 = -90.25 Factor a perfect square on the left side: (x + -9.5)(x + -9.5) = -90.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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