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Simplifying (31 + cd)(4a + cd) = 0 Multiply (31 + cd) * (4a + cd) (31(4a + cd) + cd(4a + cd)) = 0 ((4a * 31 + cd * 31) + cd(4a + cd)) = 0 ((124a + 31cd) + cd(4a + cd)) = 0 (124a + 31cd + (4a * cd + cd * cd)) = 0 (124a + 31cd + (4acd + c2d2)) = 0 Reorder the terms: (124a + 4acd + 31cd + c2d2) = 0 (124a + 4acd + 31cd + c2d2) = 0 Solving 124a + 4acd + 31cd + c2d2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-31cd' to each side of the equation. 124a + 4acd + 31cd + -31cd + c2d2 = 0 + -31cd Combine like terms: 31cd + -31cd = 0 124a + 4acd + 0 + c2d2 = 0 + -31cd 124a + 4acd + c2d2 = 0 + -31cd Remove the zero: 124a + 4acd + c2d2 = -31cd Add '-1c2d2' to each side of the equation. 124a + 4acd + c2d2 + -1c2d2 = -31cd + -1c2d2 Combine like terms: c2d2 + -1c2d2 = 0 124a + 4acd + 0 = -31cd + -1c2d2 124a + 4acd = -31cd + -1c2d2 Reorder the terms: 124a + 4acd + 31cd + c2d2 = -31cd + 31cd + -1c2d2 + c2d2 Combine like terms: -31cd + 31cd = 0 124a + 4acd + 31cd + c2d2 = 0 + -1c2d2 + c2d2 124a + 4acd + 31cd + c2d2 = -1c2d2 + c2d2 Combine like terms: -1c2d2 + c2d2 = 0 124a + 4acd + 31cd + c2d2 = 0 The solution to this equation could not be determined.
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