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Simplifying 3w2 + 3w = 4w2 + 4 Reorder the terms: 3w + 3w2 = 4w2 + 4 Reorder the terms: 3w + 3w2 = 4 + 4w2 Solving 3w + 3w2 = 4 + 4w2 Solving for variable 'w'. Reorder the terms: -4 + 3w + 3w2 + -4w2 = 4 + 4w2 + -4 + -4w2 Combine like terms: 3w2 + -4w2 = -1w2 -4 + 3w + -1w2 = 4 + 4w2 + -4 + -4w2 Reorder the terms: -4 + 3w + -1w2 = 4 + -4 + 4w2 + -4w2 Combine like terms: 4 + -4 = 0 -4 + 3w + -1w2 = 0 + 4w2 + -4w2 -4 + 3w + -1w2 = 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 -4 + 3w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -3w + w2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3w + -4 + w2 = 0 + -4 Reorder the terms: 4 + -4 + -3w + w2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3w + w2 = 0 + -4 -3w + w2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3w + w2 = -4 The w term is -3w. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3w + 2.25 + w2 = -4 + 2.25 Reorder the terms: 2.25 + -3w + w2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + -3w + w2 = -1.75 Factor a perfect square on the left side: (w + -1.5)(w + -1.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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