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Simplifying -2w2 + 227.5w + -11400 = 0 Reorder the terms: -11400 + 227.5w + -2w2 = 0 Solving -11400 + 227.5w + -2w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 5700 + -113.75w + w2 = 0 Move the constant term to the right: Add '-5700' to each side of the equation. 5700 + -113.75w + -5700 + w2 = 0 + -5700 Reorder the terms: 5700 + -5700 + -113.75w + w2 = 0 + -5700 Combine like terms: 5700 + -5700 = 0 0 + -113.75w + w2 = 0 + -5700 -113.75w + w2 = 0 + -5700 Combine like terms: 0 + -5700 = -5700 -113.75w + w2 = -5700 The w term is -113.75w. Take half its coefficient (-56.875). Square it (3234.765625) and add it to both sides. Add '3234.765625' to each side of the equation. -113.75w + 3234.765625 + w2 = -5700 + 3234.765625 Reorder the terms: 3234.765625 + -113.75w + w2 = -5700 + 3234.765625 Combine like terms: -5700 + 3234.765625 = -2465.234375 3234.765625 + -113.75w + w2 = -2465.234375 Factor a perfect square on the left side: (w + -56.875)(w + -56.875) = -2465.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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