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Simplifying (2a + -3b)(4y + 5) = 0 Reorder the terms: (2a + -3b)(5 + 4y) = 0 Multiply (2a + -3b) * (5 + 4y) (2a * (5 + 4y) + -3b * (5 + 4y)) = 0 ((5 * 2a + 4y * 2a) + -3b * (5 + 4y)) = 0 ((10a + 8ay) + -3b * (5 + 4y)) = 0 (10a + 8ay + (5 * -3b + 4y * -3b)) = 0 (10a + 8ay + (-15b + -12by)) = 0 (10a + 8ay + -15b + -12by) = 0 Solving 10a + 8ay + -15b + -12by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15b' to each side of the equation. 10a + 8ay + -15b + 15b + -12by = 0 + 15b Combine like terms: -15b + 15b = 0 10a + 8ay + 0 + -12by = 0 + 15b 10a + 8ay + -12by = 0 + 15b Remove the zero: 10a + 8ay + -12by = 15b Add '12by' to each side of the equation. 10a + 8ay + -12by + 12by = 15b + 12by Combine like terms: -12by + 12by = 0 10a + 8ay + 0 = 15b + 12by 10a + 8ay = 15b + 12by Reorder the terms: 10a + 8ay + -15b + -12by = 15b + -15b + 12by + -12by Combine like terms: 15b + -15b = 0 10a + 8ay + -15b + -12by = 0 + 12by + -12by 10a + 8ay + -15b + -12by = 12by + -12by Combine like terms: 12by + -12by = 0 10a + 8ay + -15b + -12by = 0 The solution to this equation could not be determined.
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