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Simplifying 4w2 + 9w + 9 = 0 Reorder the terms: 9 + 9w + 4w2 = 0 Solving 9 + 9w + 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'. 2.25 + 2.25w + w2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 2.25w + -2.25 + w2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + 2.25w + w2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 2.25w + w2 = 0 + -2.25 2.25w + w2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 2.25w + w2 = -2.25 The w term is 2.25w. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25w + 1.265625 + w2 = -2.25 + 1.265625 Reorder the terms: 1.265625 + 2.25w + w2 = -2.25 + 1.265625 Combine like terms: -2.25 + 1.265625 = -0.984375 1.265625 + 2.25w + w2 = -0.984375 Factor a perfect square on the left side: (w + 1.125)(w + 1.125) = -0.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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