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Simplifying Xy(2a + 3x + -2) = 0 Reorder the terms: yX(-2 + 2a + 3x) = 0 (-2 * yX + 2a * yX + 3x * yX) = 0 Reorder the terms: (2ayX + 3xyX + -2yX) = 0 (2ayX + 3xyX + -2yX) = 0 Solving 2ayX + 3xyX + -2yX = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3xyX' to each side of the equation. 2ayX + 3xyX + -3xyX + -2yX = 0 + -3xyX Combine like terms: 3xyX + -3xyX = 0 2ayX + 0 + -2yX = 0 + -3xyX 2ayX + -2yX = 0 + -3xyX Remove the zero: 2ayX + -2yX = -3xyX Add '2yX' to each side of the equation. 2ayX + -2yX + 2yX = -3xyX + 2yX Combine like terms: -2yX + 2yX = 0 2ayX + 0 = -3xyX + 2yX 2ayX = -3xyX + 2yX Divide each side by '2yX'. a = -1.5x + 1 Simplifying a = -1.5x + 1 Reorder the terms: a = 1 + -1.5x
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