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Simplifying -4w2 + w + -60 = 0 Reorder the terms: -60 + w + -4w2 = 0 Solving -60 + w + -4w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 15 + -0.25w + w2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -0.25w + -15 + w2 = 0 + -15 Reorder the terms: 15 + -15 + -0.25w + w2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -0.25w + w2 = 0 + -15 -0.25w + w2 = 0 + -15 Combine like terms: 0 + -15 = -15 -0.25w + w2 = -15 The w term is w. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.25w + 0.25 + w2 = -15 + 0.25 Reorder the terms: 0.25 + -0.25w + w2 = -15 + 0.25 Combine like terms: -15 + 0.25 = -14.75 0.25 + -0.25w + w2 = -14.75 Factor a perfect square on the left side: (w + 0.5)(w + 0.5) = -14.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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