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