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Simplifying 5w2 + -1w + 2 = 0 Reorder the terms: 2 + -1w + 5w2 = 0 Solving 2 + -1w + 5w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + -0.2w + w2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -0.2w + -0.4 + w2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -0.2w + w2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.2w + w2 = 0 + -0.4 -0.2w + w2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -0.2w + w2 = -0.4 The w term is -0.2w. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2w + 0.01 + w2 = -0.4 + 0.01 Reorder the terms: 0.01 + -0.2w + w2 = -0.4 + 0.01 Combine like terms: -0.4 + 0.01 = -0.39 0.01 + -0.2w + w2 = -0.39 Factor a perfect square on the left side: (w + -0.1)(w + -0.1) = -0.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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