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Simplifying (2x + 3y)(2x + -3y) = 0 Multiply (2x + 3y) * (2x + -3y) (2x * (2x + -3y) + 3y * (2x + -3y)) = 0 ((2x * 2x + -3y * 2x) + 3y * (2x + -3y)) = 0 Reorder the terms: ((-6xy + 4x2) + 3y * (2x + -3y)) = 0 ((-6xy + 4x2) + 3y * (2x + -3y)) = 0 (-6xy + 4x2 + (2x * 3y + -3y * 3y)) = 0 (-6xy + 4x2 + (6xy + -9y2)) = 0 Reorder the terms: (-6xy + 6xy + 4x2 + -9y2) = 0 Combine like terms: -6xy + 6xy = 0 (0 + 4x2 + -9y2) = 0 (4x2 + -9y2) = 0 Solving 4x2 + -9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y2' to each side of the equation. 4x2 + -9y2 + 9y2 = 0 + 9y2 Combine like terms: -9y2 + 9y2 = 0 4x2 + 0 = 0 + 9y2 4x2 = 0 + 9y2 Remove the zero: 4x2 = 9y2 Divide each side by '4'. x2 = 2.25y2 Simplifying x2 = 2.25y2 Take the square root of each side: x = {-1.5y, 1.5y}
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