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Simplifying (w + -5)(w + -5) + 54 = 0 Reorder the terms: (-5 + w)(w + -5) + 54 = 0 Reorder the terms: (-5 + w)(-5 + w) + 54 = 0 Multiply (-5 + w) * (-5 + w) (-5(-5 + w) + w(-5 + w)) + 54 = 0 ((-5 * -5 + w * -5) + w(-5 + w)) + 54 = 0 ((25 + -5w) + w(-5 + w)) + 54 = 0 (25 + -5w + (-5 * w + w * w)) + 54 = 0 (25 + -5w + (-5w + w2)) + 54 = 0 Combine like terms: -5w + -5w = -10w (25 + -10w + w2) + 54 = 0 Reorder the terms: 25 + 54 + -10w + w2 = 0 Combine like terms: 25 + 54 = 79 79 + -10w + w2 = 0 Solving 79 + -10w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-79' to each side of the equation. 79 + -10w + -79 + w2 = 0 + -79 Reorder the terms: 79 + -79 + -10w + w2 = 0 + -79 Combine like terms: 79 + -79 = 0 0 + -10w + w2 = 0 + -79 -10w + w2 = 0 + -79 Combine like terms: 0 + -79 = -79 -10w + w2 = -79 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 = -79 + 25 Reorder the terms: 25 + -10w + w2 = -79 + 25 Combine like terms: -79 + 25 = -54 25 + -10w + w2 = -54 Factor a perfect square on the left side: (w + -5)(w + -5) = -54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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