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Simplifying (X + -5y)(3x + -5y) = 0 Multiply (X + -5y) * (3x + -5y) (X(3x + -5y) + -5y * (3x + -5y)) = 0 ((3x * X + -5y * X) + -5y * (3x + -5y)) = 0 ((3xX + -5yX) + -5y * (3x + -5y)) = 0 (3xX + -5yX + (3x * -5y + -5y * -5y)) = 0 (3xX + -5yX + (-15xy + 25y2)) = 0 Reorder the terms: (3xX + -15xy + -5yX + 25y2) = 0 (3xX + -15xy + -5yX + 25y2) = 0 Solving 3xX + -15xy + -5yX + 25y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5yX' to each side of the equation. 3xX + -15xy + -5yX + 5yX + 25y2 = 0 + 5yX Combine like terms: -5yX + 5yX = 0 3xX + -15xy + 0 + 25y2 = 0 + 5yX 3xX + -15xy + 25y2 = 0 + 5yX Remove the zero: 3xX + -15xy + 25y2 = 5yX Add '-25y2' to each side of the equation. 3xX + -15xy + 25y2 + -25y2 = 5yX + -25y2 Combine like terms: 25y2 + -25y2 = 0 3xX + -15xy + 0 = 5yX + -25y2 3xX + -15xy = 5yX + -25y2 Reorder the terms: 3xX + -15xy + -5yX + 25y2 = 5yX + -5yX + -25y2 + 25y2 Combine like terms: 5yX + -5yX = 0 3xX + -15xy + -5yX + 25y2 = 0 + -25y2 + 25y2 3xX + -15xy + -5yX + 25y2 = -25y2 + 25y2 Combine like terms: -25y2 + 25y2 = 0 3xX + -15xy + -5yX + 25y2 = 0 The solution to this equation could not be determined.
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