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Simplifying -1w2 + 7w = 70 Reorder the terms: 7w + -1w2 = 70 Solving 7w + -1w2 = 70 Solving for variable 'w'. Reorder the terms: -70 + 7w + -1w2 = 70 + -70 Combine like terms: 70 + -70 = 0 -70 + 7w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 70 + -7w + w2 = 0 Move the constant term to the right: Add '-70' to each side of the equation. 70 + -7w + -70 + w2 = 0 + -70 Reorder the terms: 70 + -70 + -7w + w2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -7w + w2 = 0 + -70 -7w + w2 = 0 + -70 Combine like terms: 0 + -70 = -70 -7w + w2 = -70 The w term is -7w. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7w + 12.25 + w2 = -70 + 12.25 Reorder the terms: 12.25 + -7w + w2 = -70 + 12.25 Combine like terms: -70 + 12.25 = -57.75 12.25 + -7w + w2 = -57.75 Factor a perfect square on the left side: (w + -3.5)(w + -3.5) = -57.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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