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Simplifying (7w2 + -2w + 5)(w2 + -4w + -5) = 0 Reorder the terms: (5 + -2w + 7w2)(w2 + -4w + -5) = 0 Reorder the terms: (5 + -2w + 7w2)(-5 + -4w + w2) = 0 Multiply (5 + -2w + 7w2) * (-5 + -4w + w2) (5(-5 + -4w + w2) + -2w * (-5 + -4w + w2) + 7w2 * (-5 + -4w + w2)) = 0 ((-5 * 5 + -4w * 5 + w2 * 5) + -2w * (-5 + -4w + w2) + 7w2 * (-5 + -4w + w2)) = 0 ((-25 + -20w + 5w2) + -2w * (-5 + -4w + w2) + 7w2 * (-5 + -4w + w2)) = 0 (-25 + -20w + 5w2 + (-5 * -2w + -4w * -2w + w2 * -2w) + 7w2 * (-5 + -4w + w2)) = 0 (-25 + -20w + 5w2 + (10w + 8w2 + -2w3) + 7w2 * (-5 + -4w + w2)) = 0 (-25 + -20w + 5w2 + 10w + 8w2 + -2w3 + (-5 * 7w2 + -4w * 7w2 + w2 * 7w2)) = 0 (-25 + -20w + 5w2 + 10w + 8w2 + -2w3 + (-35w2 + -28w3 + 7w4)) = 0 Reorder the terms: (-25 + -20w + 10w + 5w2 + 8w2 + -35w2 + -2w3 + -28w3 + 7w4) = 0 Combine like terms: -20w + 10w = -10w (-25 + -10w + 5w2 + 8w2 + -35w2 + -2w3 + -28w3 + 7w4) = 0 Combine like terms: 5w2 + 8w2 = 13w2 (-25 + -10w + 13w2 + -35w2 + -2w3 + -28w3 + 7w4) = 0 Combine like terms: 13w2 + -35w2 = -22w2 (-25 + -10w + -22w2 + -2w3 + -28w3 + 7w4) = 0 Combine like terms: -2w3 + -28w3 = -30w3 (-25 + -10w + -22w2 + -30w3 + 7w4) = 0 Solving -25 + -10w + -22w2 + -30w3 + 7w4 = 0 Solving for variable 'w'. The solution to this equation could not be determined.
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