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Simplifying (w + -5)(w + -5) = -5 Reorder the terms: (-5 + w)(w + -5) = -5 Reorder the terms: (-5 + w)(-5 + w) = -5 Multiply (-5 + w) * (-5 + w) (-5(-5 + w) + w(-5 + w)) = -5 ((-5 * -5 + w * -5) + w(-5 + w)) = -5 ((25 + -5w) + w(-5 + w)) = -5 (25 + -5w + (-5 * w + w * w)) = -5 (25 + -5w + (-5w + w2)) = -5 Combine like terms: -5w + -5w = -10w (25 + -10w + w2) = -5 Solving 25 + -10w + w2 = -5 Solving for variable 'w'. Reorder the terms: 25 + 5 + -10w + w2 = -5 + 5 Combine like terms: 25 + 5 = 30 30 + -10w + w2 = -5 + 5 Combine like terms: -5 + 5 = 0 30 + -10w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -10w + -30 + w2 = 0 + -30 Reorder the terms: 30 + -30 + -10w + w2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10w + w2 = 0 + -30 -10w + w2 = 0 + -30 Combine like terms: 0 + -30 = -30 -10w + w2 = -30 The w term is -10w. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10w + 25 + w2 = -30 + 25 Reorder the terms: 25 + -10w + w2 = -30 + 25 Combine like terms: -30 + 25 = -5 25 + -10w + w2 = -5 Factor a perfect square on the left side: (w + -5)(w + -5) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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