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Simplifying (2a + -1c)(3b + 5d) = 0 Multiply (2a + -1c) * (3b + 5d) (2a * (3b + 5d) + -1c * (3b + 5d)) = 0 ((3b * 2a + 5d * 2a) + -1c * (3b + 5d)) = 0 ((6ab + 10ad) + -1c * (3b + 5d)) = 0 (6ab + 10ad + (3b * -1c + 5d * -1c)) = 0 (6ab + 10ad + (-3bc + -5cd)) = 0 (6ab + 10ad + -3bc + -5cd) = 0 Solving 6ab + 10ad + -3bc + -5cd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3bc' to each side of the equation. 6ab + 10ad + -3bc + 3bc + -5cd = 0 + 3bc Combine like terms: -3bc + 3bc = 0 6ab + 10ad + 0 + -5cd = 0 + 3bc 6ab + 10ad + -5cd = 0 + 3bc Remove the zero: 6ab + 10ad + -5cd = 3bc Add '5cd' to each side of the equation. 6ab + 10ad + -5cd + 5cd = 3bc + 5cd Combine like terms: -5cd + 5cd = 0 6ab + 10ad + 0 = 3bc + 5cd 6ab + 10ad = 3bc + 5cd Reorder the terms: 6ab + 10ad + -3bc + -5cd = 3bc + -3bc + 5cd + -5cd Combine like terms: 3bc + -3bc = 0 6ab + 10ad + -3bc + -5cd = 0 + 5cd + -5cd 6ab + 10ad + -3bc + -5cd = 5cd + -5cd Combine like terms: 5cd + -5cd = 0 6ab + 10ad + -3bc + -5cd = 0 The solution to this equation could not be determined.
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