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Simplifying 4w2 + 40w + 143 = 0 Reorder the terms: 143 + 40w + 4w2 = 0 Solving 143 + 40w + 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'. 35.75 + 10w + w2 = 0 Move the constant term to the right: Add '-35.75' to each side of the equation. 35.75 + 10w + -35.75 + w2 = 0 + -35.75 Reorder the terms: 35.75 + -35.75 + 10w + w2 = 0 + -35.75 Combine like terms: 35.75 + -35.75 = 0.00 0.00 + 10w + w2 = 0 + -35.75 10w + w2 = 0 + -35.75 Combine like terms: 0 + -35.75 = -35.75 10w + w2 = -35.75 The w term is 10w. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10w + 25 + w2 = -35.75 + 25 Reorder the terms: 25 + 10w + w2 = -35.75 + 25 Combine like terms: -35.75 + 25 = -10.75 25 + 10w + w2 = -10.75 Factor a perfect square on the left side: (w + 5)(w + 5) = -10.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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