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Simplifying (2x + 3)(5y + -9) = 0 Reorder the terms: (3 + 2x)(5y + -9) = 0 Reorder the terms: (3 + 2x)(-9 + 5y) = 0 Multiply (3 + 2x) * (-9 + 5y) (3(-9 + 5y) + 2x * (-9 + 5y)) = 0 ((-9 * 3 + 5y * 3) + 2x * (-9 + 5y)) = 0 ((-27 + 15y) + 2x * (-9 + 5y)) = 0 (-27 + 15y + (-9 * 2x + 5y * 2x)) = 0 (-27 + 15y + (-18x + 10xy)) = 0 Reorder the terms: (-27 + -18x + 10xy + 15y) = 0 (-27 + -18x + 10xy + 15y) = 0 Solving -27 + -18x + 10xy + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + -18x + 10xy + 27 + 15y = 0 + 27 Reorder the terms: -27 + 27 + -18x + 10xy + 15y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -18x + 10xy + 15y = 0 + 27 -18x + 10xy + 15y = 0 + 27 Combine like terms: 0 + 27 = 27 -18x + 10xy + 15y = 27 Add '-15y' to each side of the equation. -18x + 10xy + 15y + -15y = 27 + -15y Combine like terms: 15y + -15y = 0 -18x + 10xy + 0 = 27 + -15y -18x + 10xy = 27 + -15y Reorder the terms: -27 + -18x + 10xy + 15y = 27 + -15y + -27 + 15y Reorder the terms: -27 + -18x + 10xy + 15y = 27 + -27 + -15y + 15y Combine like terms: 27 + -27 = 0 -27 + -18x + 10xy + 15y = 0 + -15y + 15y -27 + -18x + 10xy + 15y = -15y + 15y Combine like terms: -15y + 15y = 0 -27 + -18x + 10xy + 15y = 0 The solution to this equation could not be determined.
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