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Simplifying 2w2 + -13w + 800 = 0 Reorder the terms: 800 + -13w + 2w2 = 0 Solving 800 + -13w + 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'. 400 + -6.5w + w2 = 0 Move the constant term to the right: Add '-400' to each side of the equation. 400 + -6.5w + -400 + w2 = 0 + -400 Reorder the terms: 400 + -400 + -6.5w + w2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -6.5w + w2 = 0 + -400 -6.5w + w2 = 0 + -400 Combine like terms: 0 + -400 = -400 -6.5w + w2 = -400 The w term is -6.5w. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5w + 10.5625 + w2 = -400 + 10.5625 Reorder the terms: 10.5625 + -6.5w + w2 = -400 + 10.5625 Combine like terms: -400 + 10.5625 = -389.4375 10.5625 + -6.5w + w2 = -389.4375 Factor a perfect square on the left side: (w + -3.25)(w + -3.25) = -389.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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