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Simplifying 2w2 + 7w + 7 + -1w2 + -10w + 25 = 0 Reorder the terms: 7 + 25 + 7w + -10w + 2w2 + -1w2 = 0 Combine like terms: 7 + 25 = 32 32 + 7w + -10w + 2w2 + -1w2 = 0 Combine like terms: 7w + -10w = -3w 32 + -3w + 2w2 + -1w2 = 0 Combine like terms: 2w2 + -1w2 = 1w2 32 + -3w + 1w2 = 0 Solving 32 + -3w + 1w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + -3w + -32 + w2 = 0 + -32 Reorder the terms: 32 + -32 + -3w + w2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -3w + w2 = 0 + -32 -3w + w2 = 0 + -32 Combine like terms: 0 + -32 = -32 -3w + w2 = -32 The w term is -3w. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3w + 2.25 + w2 = -32 + 2.25 Reorder the terms: 2.25 + -3w + w2 = -32 + 2.25 Combine like terms: -32 + 2.25 = -29.75 2.25 + -3w + w2 = -29.75 Factor a perfect square on the left side: (w + -1.5)(w + -1.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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