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Simplifying (x + -5y)(x2 + 5xy + 25y2) = 0 Reorder the terms: (x + -5y)(5xy + x2 + 25y2) = 0 Multiply (x + -5y) * (5xy + x2 + 25y2) (x(5xy + x2 + 25y2) + -5y * (5xy + x2 + 25y2)) = 0 ((5xy * x + x2 * x + 25y2 * x) + -5y * (5xy + x2 + 25y2)) = 0 Reorder the terms: ((25xy2 + 5x2y + x3) + -5y * (5xy + x2 + 25y2)) = 0 ((25xy2 + 5x2y + x3) + -5y * (5xy + x2 + 25y2)) = 0 (25xy2 + 5x2y + x3 + (5xy * -5y + x2 * -5y + 25y2 * -5y)) = 0 (25xy2 + 5x2y + x3 + (-25xy2 + -5x2y + -125y3)) = 0 Reorder the terms: (25xy2 + -25xy2 + 5x2y + -5x2y + x3 + -125y3) = 0 Combine like terms: 25xy2 + -25xy2 = 0 (0 + 5x2y + -5x2y + x3 + -125y3) = 0 (5x2y + -5x2y + x3 + -125y3) = 0 Combine like terms: 5x2y + -5x2y = 0 (0 + x3 + -125y3) = 0 (x3 + -125y3) = 0 Solving x3 + -125y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '125y3' to each side of the equation. x3 + -125y3 + 125y3 = 0 + 125y3 Combine like terms: -125y3 + 125y3 = 0 x3 + 0 = 0 + 125y3 x3 = 0 + 125y3 Remove the zero: x3 = 125y3 Simplifying x3 = 125y3 Combine like terms: 125y3 + -125y3 = 0 x3 + -125y3 = 0 The solution to this equation could not be determined.
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