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Simplifying w2 + 8w + 16 + -36q2 = 0 Reorder the terms: 16 + -36q2 + 8w + w2 = 0 Solving 16 + -36q2 + 8w + w2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -36q2 + 8w + -16 + w2 = 0 + -16 Reorder the terms: 16 + -16 + -36q2 + 8w + w2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -36q2 + 8w + w2 = 0 + -16 -36q2 + 8w + w2 = 0 + -16 Combine like terms: 0 + -16 = -16 -36q2 + 8w + w2 = -16 Add '-8w' to each side of the equation. -36q2 + 8w + -8w + w2 = -16 + -8w Combine like terms: 8w + -8w = 0 -36q2 + 0 + w2 = -16 + -8w -36q2 + w2 = -16 + -8w Add '-1w2' to each side of the equation. -36q2 + w2 + -1w2 = -16 + -8w + -1w2 Combine like terms: w2 + -1w2 = 0 -36q2 + 0 = -16 + -8w + -1w2 -36q2 = -16 + -8w + -1w2 Divide each side by '-36'. q2 = 0.4444444444 + 0.2222222222w + 0.02777777778w2 Simplifying q2 = 0.4444444444 + 0.2222222222w + 0.02777777778w2 Reorder the terms: -0.4444444444 + q2 + -0.2222222222w + -0.02777777778w2 = 0.4444444444 + 0.2222222222w + 0.02777777778w2 + -0.4444444444 + -0.2222222222w + -0.02777777778w2 Reorder the terms: -0.4444444444 + q2 + -0.2222222222w + -0.02777777778w2 = 0.4444444444 + -0.4444444444 + 0.2222222222w + -0.2222222222w + 0.02777777778w2 + -0.02777777778w2 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 -0.4444444444 + q2 + -0.2222222222w + -0.02777777778w2 = 0.0000000000 + 0.2222222222w + -0.2222222222w + 0.02777777778w2 + -0.02777777778w2 -0.4444444444 + q2 + -0.2222222222w + -0.02777777778w2 = 0.2222222222w + -0.2222222222w + 0.02777777778w2 + -0.02777777778w2 Combine like terms: 0.2222222222w + -0.2222222222w = 0.0000000000 -0.4444444444 + q2 + -0.2222222222w + -0.02777777778w2 = 0.0000000000 + 0.02777777778w2 + -0.02777777778w2 -0.4444444444 + q2 + -0.2222222222w + -0.02777777778w2 = 0.02777777778w2 + -0.02777777778w2 Combine like terms: 0.02777777778w2 + -0.02777777778w2 = 0.00000000000 -0.4444444444 + q2 + -0.2222222222w + -0.02777777778w2 = 0.00000000000 The solution to this equation could not be determined.
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