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Simplifying (2x + 3)(3y + -5) = 0 Reorder the terms: (3 + 2x)(3y + -5) = 0 Reorder the terms: (3 + 2x)(-5 + 3y) = 0 Multiply (3 + 2x) * (-5 + 3y) (3(-5 + 3y) + 2x * (-5 + 3y)) = 0 ((-5 * 3 + 3y * 3) + 2x * (-5 + 3y)) = 0 ((-15 + 9y) + 2x * (-5 + 3y)) = 0 (-15 + 9y + (-5 * 2x + 3y * 2x)) = 0 (-15 + 9y + (-10x + 6xy)) = 0 Reorder the terms: (-15 + -10x + 6xy + 9y) = 0 (-15 + -10x + 6xy + 9y) = 0 Solving -15 + -10x + 6xy + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -10x + 6xy + 15 + 9y = 0 + 15 Reorder the terms: -15 + 15 + -10x + 6xy + 9y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -10x + 6xy + 9y = 0 + 15 -10x + 6xy + 9y = 0 + 15 Combine like terms: 0 + 15 = 15 -10x + 6xy + 9y = 15 Add '-9y' to each side of the equation. -10x + 6xy + 9y + -9y = 15 + -9y Combine like terms: 9y + -9y = 0 -10x + 6xy + 0 = 15 + -9y -10x + 6xy = 15 + -9y Reorder the terms: -15 + -10x + 6xy + 9y = 15 + -9y + -15 + 9y Reorder the terms: -15 + -10x + 6xy + 9y = 15 + -15 + -9y + 9y Combine like terms: 15 + -15 = 0 -15 + -10x + 6xy + 9y = 0 + -9y + 9y -15 + -10x + 6xy + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 -15 + -10x + 6xy + 9y = 0 The solution to this equation could not be determined.
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