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Simplifying (X + -5y)(2x + 3y) = 0 Multiply (X + -5y) * (2x + 3y) (X(2x + 3y) + -5y * (2x + 3y)) = 0 ((2x * X + 3y * X) + -5y * (2x + 3y)) = 0 ((2xX + 3yX) + -5y * (2x + 3y)) = 0 (2xX + 3yX + (2x * -5y + 3y * -5y)) = 0 (2xX + 3yX + (-10xy + -15y2)) = 0 Reorder the terms: (2xX + -10xy + 3yX + -15y2) = 0 (2xX + -10xy + 3yX + -15y2) = 0 Solving 2xX + -10xy + 3yX + -15y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3yX' to each side of the equation. 2xX + -10xy + 3yX + -3yX + -15y2 = 0 + -3yX Combine like terms: 3yX + -3yX = 0 2xX + -10xy + 0 + -15y2 = 0 + -3yX 2xX + -10xy + -15y2 = 0 + -3yX Remove the zero: 2xX + -10xy + -15y2 = -3yX Add '15y2' to each side of the equation. 2xX + -10xy + -15y2 + 15y2 = -3yX + 15y2 Combine like terms: -15y2 + 15y2 = 0 2xX + -10xy + 0 = -3yX + 15y2 2xX + -10xy = -3yX + 15y2 Reorder the terms: 2xX + -10xy + 3yX + -15y2 = -3yX + 3yX + 15y2 + -15y2 Combine like terms: -3yX + 3yX = 0 2xX + -10xy + 3yX + -15y2 = 0 + 15y2 + -15y2 2xX + -10xy + 3yX + -15y2 = 15y2 + -15y2 Combine like terms: 15y2 + -15y2 = 0 2xX + -10xy + 3yX + -15y2 = 0 The solution to this equation could not be determined.
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