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Simplifying w2 = 7(w + -4) Reorder the terms: w2 = 7(-4 + w) w2 = (-4 * 7 + w * 7) w2 = (-28 + 7w) Solving w2 = -28 + 7w Solving for variable 'w'. Reorder the terms: 28 + -7w + w2 = -28 + 7w + 28 + -7w Reorder the terms: 28 + -7w + w2 = -28 + 28 + 7w + -7w Combine like terms: -28 + 28 = 0 28 + -7w + w2 = 0 + 7w + -7w 28 + -7w + w2 = 7w + -7w Combine like terms: 7w + -7w = 0 28 + -7w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -7w + -28 + w2 = 0 + -28 Reorder the terms: 28 + -28 + -7w + w2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -7w + w2 = 0 + -28 -7w + w2 = 0 + -28 Combine like terms: 0 + -28 = -28 -7w + w2 = -28 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 = -28 + 12.25 Reorder the terms: 12.25 + -7w + w2 = -28 + 12.25 Combine like terms: -28 + 12.25 = -15.75 12.25 + -7w + w2 = -15.75 Factor a perfect square on the left side: (w + -3.5)(w + -3.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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