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Simplifying (2x + 3)(5y + -6) = 0 Reorder the terms: (3 + 2x)(5y + -6) = 0 Reorder the terms: (3 + 2x)(-6 + 5y) = 0 Multiply (3 + 2x) * (-6 + 5y) (3(-6 + 5y) + 2x * (-6 + 5y)) = 0 ((-6 * 3 + 5y * 3) + 2x * (-6 + 5y)) = 0 ((-18 + 15y) + 2x * (-6 + 5y)) = 0 (-18 + 15y + (-6 * 2x + 5y * 2x)) = 0 (-18 + 15y + (-12x + 10xy)) = 0 Reorder the terms: (-18 + -12x + 10xy + 15y) = 0 (-18 + -12x + 10xy + 15y) = 0 Solving -18 + -12x + 10xy + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -12x + 10xy + 18 + 15y = 0 + 18 Reorder the terms: -18 + 18 + -12x + 10xy + 15y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -12x + 10xy + 15y = 0 + 18 -12x + 10xy + 15y = 0 + 18 Combine like terms: 0 + 18 = 18 -12x + 10xy + 15y = 18 Add '-15y' to each side of the equation. -12x + 10xy + 15y + -15y = 18 + -15y Combine like terms: 15y + -15y = 0 -12x + 10xy + 0 = 18 + -15y -12x + 10xy = 18 + -15y Reorder the terms: -18 + -12x + 10xy + 15y = 18 + -15y + -18 + 15y Reorder the terms: -18 + -12x + 10xy + 15y = 18 + -18 + -15y + 15y Combine like terms: 18 + -18 = 0 -18 + -12x + 10xy + 15y = 0 + -15y + 15y -18 + -12x + 10xy + 15y = -15y + 15y Combine like terms: -15y + 15y = 0 -18 + -12x + 10xy + 15y = 0 The solution to this equation could not be determined.
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