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Simplifying w2 = 4(w + -2) Reorder the terms: w2 = 4(-2 + w) w2 = (-2 * 4 + w * 4) w2 = (-8 + 4w) Solving w2 = -8 + 4w Solving for variable 'w'. Reorder the terms: 8 + -4w + w2 = -8 + 4w + 8 + -4w Reorder the terms: 8 + -4w + w2 = -8 + 8 + 4w + -4w Combine like terms: -8 + 8 = 0 8 + -4w + w2 = 0 + 4w + -4w 8 + -4w + w2 = 4w + -4w Combine like terms: 4w + -4w = 0 8 + -4w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4w + -8 + w2 = 0 + -8 Reorder the terms: 8 + -8 + -4w + w2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4w + w2 = 0 + -8 -4w + w2 = 0 + -8 Combine like terms: 0 + -8 = -8 -4w + w2 = -8 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 = -8 + 4 Reorder the terms: 4 + -4w + w2 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + -4w + w2 = -4 Factor a perfect square on the left side: (w + -2)(w + -2) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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