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Simplifying (2a + -3c)(3b + -1d) = 0 Multiply (2a + -3c) * (3b + -1d) (2a * (3b + -1d) + -3c * (3b + -1d)) = 0 ((3b * 2a + -1d * 2a) + -3c * (3b + -1d)) = 0 ((6ab + -2ad) + -3c * (3b + -1d)) = 0 (6ab + -2ad + (3b * -3c + -1d * -3c)) = 0 (6ab + -2ad + (-9bc + 3cd)) = 0 (6ab + -2ad + -9bc + 3cd) = 0 Solving 6ab + -2ad + -9bc + 3cd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9bc' to each side of the equation. 6ab + -2ad + -9bc + 9bc + 3cd = 0 + 9bc Combine like terms: -9bc + 9bc = 0 6ab + -2ad + 0 + 3cd = 0 + 9bc 6ab + -2ad + 3cd = 0 + 9bc Remove the zero: 6ab + -2ad + 3cd = 9bc Add '-3cd' to each side of the equation. 6ab + -2ad + 3cd + -3cd = 9bc + -3cd Combine like terms: 3cd + -3cd = 0 6ab + -2ad + 0 = 9bc + -3cd 6ab + -2ad = 9bc + -3cd Reorder the terms: 6ab + -2ad + -9bc + 3cd = 9bc + -9bc + -3cd + 3cd Combine like terms: 9bc + -9bc = 0 6ab + -2ad + -9bc + 3cd = 0 + -3cd + 3cd 6ab + -2ad + -9bc + 3cd = -3cd + 3cd Combine like terms: -3cd + 3cd = 0 6ab + -2ad + -9bc + 3cd = 0 The solution to this equation could not be determined.
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