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Simplifying 4w2 + -1w + 10 = 0 Reorder the terms: 10 + -1w + 4w2 = 0 Solving 10 + -1w + 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'. 2.5 + -0.25w + w2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -0.25w + -2.5 + w2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -0.25w + w2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.25w + w2 = 0 + -2.5 -0.25w + w2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -0.25w + w2 = -2.5 The w term is -0.25w. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25w + 0.015625 + w2 = -2.5 + 0.015625 Reorder the terms: 0.015625 + -0.25w + w2 = -2.5 + 0.015625 Combine like terms: -2.5 + 0.015625 = -2.484375 0.015625 + -0.25w + w2 = -2.484375 Factor a perfect square on the left side: (w + -0.125)(w + -0.125) = -2.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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