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Simplifying (x + y)(x + 5y)(x + -5y) = 0 Multiply (x + y) * (x + 5y) (x(x + 5y) + y(x + 5y))(x + -5y) = 0 ((x * x + 5y * x) + y(x + 5y))(x + -5y) = 0 Reorder the terms: ((5xy + x2) + y(x + 5y))(x + -5y) = 0 ((5xy + x2) + y(x + 5y))(x + -5y) = 0 (5xy + x2 + (x * y + 5y * y))(x + -5y) = 0 (5xy + x2 + (xy + 5y2))(x + -5y) = 0 Reorder the terms: (5xy + xy + x2 + 5y2)(x + -5y) = 0 Combine like terms: 5xy + xy = 6xy (6xy + x2 + 5y2)(x + -5y) = 0 Multiply (6xy + x2 + 5y2) * (x + -5y) (6xy * (x + -5y) + x2(x + -5y) + 5y2 * (x + -5y)) = 0 ((x * 6xy + -5y * 6xy) + x2(x + -5y) + 5y2 * (x + -5y)) = 0 Reorder the terms: ((-30xy2 + 6x2y) + x2(x + -5y) + 5y2 * (x + -5y)) = 0 ((-30xy2 + 6x2y) + x2(x + -5y) + 5y2 * (x + -5y)) = 0 (-30xy2 + 6x2y + (x * x2 + -5y * x2) + 5y2 * (x + -5y)) = 0 Reorder the terms: (-30xy2 + 6x2y + (-5x2y + x3) + 5y2 * (x + -5y)) = 0 (-30xy2 + 6x2y + (-5x2y + x3) + 5y2 * (x + -5y)) = 0 (-30xy2 + 6x2y + -5x2y + x3 + (x * 5y2 + -5y * 5y2)) = 0 (-30xy2 + 6x2y + -5x2y + x3 + (5xy2 + -25y3)) = 0 Reorder the terms: (-30xy2 + 5xy2 + 6x2y + -5x2y + x3 + -25y3) = 0 Combine like terms: -30xy2 + 5xy2 = -25xy2 (-25xy2 + 6x2y + -5x2y + x3 + -25y3) = 0 Combine like terms: 6x2y + -5x2y = 1x2y (-25xy2 + 1x2y + x3 + -25y3) = 0 Solving -25xy2 + 1x2y + x3 + -25y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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