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Simplifying w2 = (w + -8) Reorder the terms: w2 = (-8 + w) Remove parenthesis around (-8 + w) w2 = -8 + w Solving w2 = -8 + w Solving for variable 'w'. Reorder the terms: 8 + -1w + w2 = -8 + w + 8 + -1w Reorder the terms: 8 + -1w + w2 = -8 + 8 + w + -1w Combine like terms: -8 + 8 = 0 8 + -1w + w2 = 0 + w + -1w 8 + -1w + w2 = w + -1w Combine like terms: w + -1w = 0 8 + -1w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -1w + -8 + w2 = 0 + -8 Reorder the terms: 8 + -8 + -1w + w2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w + w2 = 0 + -8 -1w + w2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1w + w2 = -8 The w term is -1w. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1w + 0.25 + w2 = -8 + 0.25 Reorder the terms: 0.25 + -1w + w2 = -8 + 0.25 Combine like terms: -8 + 0.25 = -7.75 0.25 + -1w + w2 = -7.75 Factor a perfect square on the left side: (w + -0.5)(w + -0.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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