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Simplifying (2x + -1y)(X + 3y) = 0 Multiply (2x + -1y) * (X + 3y) (2x * (X + 3y) + -1y * (X + 3y)) = 0 ((X * 2x + 3y * 2x) + -1y * (X + 3y)) = 0 ((2xX + 6xy) + -1y * (X + 3y)) = 0 (2xX + 6xy + (X * -1y + 3y * -1y)) = 0 (2xX + 6xy + (-1yX + -3y2)) = 0 (2xX + 6xy + -1yX + -3y2) = 0 Solving 2xX + 6xy + -1yX + -3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'yX' to each side of the equation. 2xX + 6xy + -1yX + yX + -3y2 = 0 + yX Combine like terms: -1yX + yX = 0 2xX + 6xy + 0 + -3y2 = 0 + yX 2xX + 6xy + -3y2 = 0 + yX Remove the zero: 2xX + 6xy + -3y2 = yX Add '3y2' to each side of the equation. 2xX + 6xy + -3y2 + 3y2 = yX + 3y2 Combine like terms: -3y2 + 3y2 = 0 2xX + 6xy + 0 = yX + 3y2 2xX + 6xy = yX + 3y2 Reorder the terms: 2xX + 6xy + -1yX + -3y2 = yX + -1yX + 3y2 + -3y2 Combine like terms: yX + -1yX = 0 2xX + 6xy + -1yX + -3y2 = 0 + 3y2 + -3y2 2xX + 6xy + -1yX + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 2xX + 6xy + -1yX + -3y2 = 0 The solution to this equation could not be determined.
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