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