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Simplifying w2 + 8w + 48 = 0 Reorder the terms: 48 + 8w + w2 = 0 Solving 48 + 8w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + 8w + -48 + w2 = 0 + -48 Reorder the terms: 48 + -48 + 8w + w2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8w + w2 = 0 + -48 8w + w2 = 0 + -48 Combine like terms: 0 + -48 = -48 8w + w2 = -48 The w term is 8w. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8w + 16 + w2 = -48 + 16 Reorder the terms: 16 + 8w + w2 = -48 + 16 Combine like terms: -48 + 16 = -32 16 + 8w + w2 = -32 Factor a perfect square on the left side: (w + 4)(w + 4) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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