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Simplifying (-5x + 5y)(25x2 + 25xy + 25y2) = 0 Reorder the terms: (-5x + 5y)(25xy + 25x2 + 25y2) = 0 Multiply (-5x + 5y) * (25xy + 25x2 + 25y2) (-5x * (25xy + 25x2 + 25y2) + 5y * (25xy + 25x2 + 25y2)) = 0 ((25xy * -5x + 25x2 * -5x + 25y2 * -5x) + 5y * (25xy + 25x2 + 25y2)) = 0 Reorder the terms: ((-125xy2 + -125x2y + -125x3) + 5y * (25xy + 25x2 + 25y2)) = 0 ((-125xy2 + -125x2y + -125x3) + 5y * (25xy + 25x2 + 25y2)) = 0 (-125xy2 + -125x2y + -125x3 + (25xy * 5y + 25x2 * 5y + 25y2 * 5y)) = 0 (-125xy2 + -125x2y + -125x3 + (125xy2 + 125x2y + 125y3)) = 0 Reorder the terms: (-125xy2 + 125xy2 + -125x2y + 125x2y + -125x3 + 125y3) = 0 Combine like terms: -125xy2 + 125xy2 = 0 (0 + -125x2y + 125x2y + -125x3 + 125y3) = 0 (-125x2y + 125x2y + -125x3 + 125y3) = 0 Combine like terms: -125x2y + 125x2y = 0 (0 + -125x3 + 125y3) = 0 (-125x3 + 125y3) = 0 Solving -125x3 + 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. -125x3 + 125y3 + -125y3 = 0 + -125y3 Combine like terms: 125y3 + -125y3 = 0 -125x3 + 0 = 0 + -125y3 -125x3 = 0 + -125y3 Remove the zero: -125x3 = -125y3 Divide each side by '-125'. x3 = y3 Simplifying x3 = y3 Combine like terms: y3 + -1y3 = 0 x3 + -1y3 = 0 The solution to this equation could not be determined.
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