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Simplifying w2 = 8(w + -3) Reorder the terms: w2 = 8(-3 + w) w2 = (-3 * 8 + w * 8) w2 = (-24 + 8w) Solving w2 = -24 + 8w Solving for variable 'w'. Reorder the terms: 24 + -8w + w2 = -24 + 8w + 24 + -8w Reorder the terms: 24 + -8w + w2 = -24 + 24 + 8w + -8w Combine like terms: -24 + 24 = 0 24 + -8w + w2 = 0 + 8w + -8w 24 + -8w + w2 = 8w + -8w Combine like terms: 8w + -8w = 0 24 + -8w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -8w + -24 + w2 = 0 + -24 Reorder the terms: 24 + -24 + -8w + w2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8w + w2 = 0 + -24 -8w + w2 = 0 + -24 Combine like terms: 0 + -24 = -24 -8w + w2 = -24 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 = -24 + 16 Reorder the terms: 16 + -8w + w2 = -24 + 16 Combine like terms: -24 + 16 = -8 16 + -8w + w2 = -8 Factor a perfect square on the left side: (w + -4)(w + -4) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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