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Simplifying 3w + -2w2 + -27 = 0 Reorder the terms: -27 + 3w + -2w2 = 0 Solving -27 + 3w + -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'. 13.5 + -1.5w + w2 = 0 Move the constant term to the right: Add '-13.5' to each side of the equation. 13.5 + -1.5w + -13.5 + w2 = 0 + -13.5 Reorder the terms: 13.5 + -13.5 + -1.5w + w2 = 0 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -1.5w + w2 = 0 + -13.5 -1.5w + w2 = 0 + -13.5 Combine like terms: 0 + -13.5 = -13.5 -1.5w + w2 = -13.5 The w term is -1.5w. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5w + 0.5625 + w2 = -13.5 + 0.5625 Reorder the terms: 0.5625 + -1.5w + w2 = -13.5 + 0.5625 Combine like terms: -13.5 + 0.5625 = -12.9375 0.5625 + -1.5w + w2 = -12.9375 Factor a perfect square on the left side: (w + -0.75)(w + -0.75) = -12.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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