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Simplifying (2a + -3d)(3x + 2y) = 0 Multiply (2a + -3d) * (3x + 2y) (2a * (3x + 2y) + -3d * (3x + 2y)) = 0 ((3x * 2a + 2y * 2a) + -3d * (3x + 2y)) = 0 ((6ax + 4ay) + -3d * (3x + 2y)) = 0 (6ax + 4ay + (3x * -3d + 2y * -3d)) = 0 (6ax + 4ay + (-9dx + -6dy)) = 0 (6ax + 4ay + -9dx + -6dy) = 0 Solving 6ax + 4ay + -9dx + -6dy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9dx' to each side of the equation. 6ax + 4ay + -9dx + 9dx + -6dy = 0 + 9dx Combine like terms: -9dx + 9dx = 0 6ax + 4ay + 0 + -6dy = 0 + 9dx 6ax + 4ay + -6dy = 0 + 9dx Remove the zero: 6ax + 4ay + -6dy = 9dx Add '6dy' to each side of the equation. 6ax + 4ay + -6dy + 6dy = 9dx + 6dy Combine like terms: -6dy + 6dy = 0 6ax + 4ay + 0 = 9dx + 6dy 6ax + 4ay = 9dx + 6dy Reorder the terms: 6ax + 4ay + -9dx + -6dy = 9dx + -9dx + 6dy + -6dy Combine like terms: 9dx + -9dx = 0 6ax + 4ay + -9dx + -6dy = 0 + 6dy + -6dy 6ax + 4ay + -9dx + -6dy = 6dy + -6dy Combine like terms: 6dy + -6dy = 0 6ax + 4ay + -9dx + -6dy = 0 The solution to this equation could not be determined.
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