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Simplifying w2 + 2w + 62 = 0 Reorder the terms: 62 + 2w + w2 = 0 Solving 62 + 2w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-62' to each side of the equation. 62 + 2w + -62 + w2 = 0 + -62 Reorder the terms: 62 + -62 + 2w + w2 = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 2w + w2 = 0 + -62 2w + w2 = 0 + -62 Combine like terms: 0 + -62 = -62 2w + w2 = -62 The w term is 2w. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2w + 1 + w2 = -62 + 1 Reorder the terms: 1 + 2w + w2 = -62 + 1 Combine like terms: -62 + 1 = -61 1 + 2w + w2 = -61 Factor a perfect square on the left side: (w + 1)(w + 1) = -61 Can't calculate square root of the right side. The solution to this equation could not be determined.
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