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Simplifying 0.5x2 + -290x + 52886 = 0 Reorder the terms: 52886 + -290x + 0.5x2 = 0 Solving 52886 + -290x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 105772 + -580x + x2 = 0 Move the constant term to the right: Add '-105772' to each side of the equation. 105772 + -580x + -105772 + x2 = 0 + -105772 Reorder the terms: 105772 + -105772 + -580x + x2 = 0 + -105772 Combine like terms: 105772 + -105772 = 0 0 + -580x + x2 = 0 + -105772 -580x + x2 = 0 + -105772 Combine like terms: 0 + -105772 = -105772 -580x + x2 = -105772 The x term is -580x. Take half its coefficient (-290). Square it (84100) and add it to both sides. Add '84100' to each side of the equation. -580x + 84100 + x2 = -105772 + 84100 Reorder the terms: 84100 + -580x + x2 = -105772 + 84100 Combine like terms: -105772 + 84100 = -21672 84100 + -580x + x2 = -21672 Factor a perfect square on the left side: (x + -290)(x + -290) = -21672 Can't calculate square root of the right side. The solution to this equation could not be determined.
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