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Simplifying 0.4w2 + -0.73w + 0.66 = 0 Reorder the terms: 0.66 + -0.73w + 0.4w2 = 0 Solving 0.66 + -0.73w + 0.4w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 0.4 the coefficient of the squared term: Divide each side by '0.4'. 1.65 + -1.825w + w2 = 0 Move the constant term to the right: Add '-1.65' to each side of the equation. 1.65 + -1.825w + -1.65 + w2 = 0 + -1.65 Reorder the terms: 1.65 + -1.65 + -1.825w + w2 = 0 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + -1.825w + w2 = 0 + -1.65 -1.825w + w2 = 0 + -1.65 Combine like terms: 0 + -1.65 = -1.65 -1.825w + w2 = -1.65 The w term is -1.825w. Take half its coefficient (-0.9125). Square it (0.83265625) and add it to both sides. Add '0.83265625' to each side of the equation. -1.825w + 0.83265625 + w2 = -1.65 + 0.83265625 Reorder the terms: 0.83265625 + -1.825w + w2 = -1.65 + 0.83265625 Combine like terms: -1.65 + 0.83265625 = -0.81734375 0.83265625 + -1.825w + w2 = -0.81734375 Factor a perfect square on the left side: (w + -0.9125)(w + -0.9125) = -0.81734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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