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Simplifying w2 + -5w + 25 = 0 Reorder the terms: 25 + -5w + w2 = 0 Solving 25 + -5w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -5w + -25 + w2 = 0 + -25 Reorder the terms: 25 + -25 + -5w + w2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -5w + w2 = 0 + -25 -5w + w2 = 0 + -25 Combine like terms: 0 + -25 = -25 -5w + w2 = -25 The w term is -5w. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5w + 6.25 + w2 = -25 + 6.25 Reorder the terms: 6.25 + -5w + w2 = -25 + 6.25 Combine like terms: -25 + 6.25 = -18.75 6.25 + -5w + w2 = -18.75 Factor a perfect square on the left side: (w + -2.5)(w + -2.5) = -18.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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