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Simplifying 3(2x + 5y)(2x + -5y) = 0 Multiply (2x + 5y) * (2x + -5y) 3(2x * (2x + -5y) + 5y * (2x + -5y)) = 0 3((2x * 2x + -5y * 2x) + 5y * (2x + -5y)) = 0 Reorder the terms: 3((-10xy + 4x2) + 5y * (2x + -5y)) = 0 3((-10xy + 4x2) + 5y * (2x + -5y)) = 0 3(-10xy + 4x2 + (2x * 5y + -5y * 5y)) = 0 3(-10xy + 4x2 + (10xy + -25y2)) = 0 Reorder the terms: 3(-10xy + 10xy + 4x2 + -25y2) = 0 Combine like terms: -10xy + 10xy = 0 3(0 + 4x2 + -25y2) = 0 3(4x2 + -25y2) = 0 (4x2 * 3 + -25y2 * 3) = 0 (12x2 + -75y2) = 0 Solving 12x2 + -75y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75y2' to each side of the equation. 12x2 + -75y2 + 75y2 = 0 + 75y2 Combine like terms: -75y2 + 75y2 = 0 12x2 + 0 = 0 + 75y2 12x2 = 0 + 75y2 Remove the zero: 12x2 = 75y2 Divide each side by '12'. x2 = 6.25y2 Simplifying x2 = 6.25y2 Take the square root of each side: x = {-2.5y, 2.5y}
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