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Simplifying 4w + -1w2 = 15 Solving 4w + -1w2 = 15 Solving for variable 'w'. Reorder the terms: -15 + 4w + -1w2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 4w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 15 + -4w + w2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -4w + -15 + w2 = 0 + -15 Reorder the terms: 15 + -15 + -4w + w2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4w + w2 = 0 + -15 -4w + w2 = 0 + -15 Combine like terms: 0 + -15 = -15 -4w + w2 = -15 The w term is -4w. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4w + 4 + w2 = -15 + 4 Reorder the terms: 4 + -4w + w2 = -15 + 4 Combine like terms: -15 + 4 = -11 4 + -4w + w2 = -11 Factor a perfect square on the left side: (w + -2)(w + -2) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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