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Simplifying w2 = 8w + -40 Reorder the terms: w2 = -40 + 8w Solving w2 = -40 + 8w Solving for variable 'w'. Reorder the terms: 40 + -8w + w2 = -40 + 8w + 40 + -8w Reorder the terms: 40 + -8w + w2 = -40 + 40 + 8w + -8w Combine like terms: -40 + 40 = 0 40 + -8w + w2 = 0 + 8w + -8w 40 + -8w + w2 = 8w + -8w Combine like terms: 8w + -8w = 0 40 + -8w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -8w + -40 + w2 = 0 + -40 Reorder the terms: 40 + -40 + -8w + w2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8w + w2 = 0 + -40 -8w + w2 = 0 + -40 Combine like terms: 0 + -40 = -40 -8w + w2 = -40 The w term is -8w. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8w + 16 + w2 = -40 + 16 Reorder the terms: 16 + -8w + w2 = -40 + 16 Combine like terms: -40 + 16 = -24 16 + -8w + w2 = -24 Factor a perfect square on the left side: (w + -4)(w + -4) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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