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Simplifying 4w2 + 17w + 19 = 0 Reorder the terms: 19 + 17w + 4w2 = 0 Solving 19 + 17w + 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'. 4.75 + 4.25w + w2 = 0 Move the constant term to the right: Add '-4.75' to each side of the equation. 4.75 + 4.25w + -4.75 + w2 = 0 + -4.75 Reorder the terms: 4.75 + -4.75 + 4.25w + w2 = 0 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + 4.25w + w2 = 0 + -4.75 4.25w + w2 = 0 + -4.75 Combine like terms: 0 + -4.75 = -4.75 4.25w + w2 = -4.75 The w term is 4.25w. Take half its coefficient (2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. 4.25w + 4.515625 + w2 = -4.75 + 4.515625 Reorder the terms: 4.515625 + 4.25w + w2 = -4.75 + 4.515625 Combine like terms: -4.75 + 4.515625 = -0.234375 4.515625 + 4.25w + w2 = -0.234375 Factor a perfect square on the left side: (w + 2.125)(w + 2.125) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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