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Simplifying (x + 5 + -1y)(x + -5 + y) = 0 Reorder the terms: (5 + x + -1y)(x + -5 + y) = 0 Reorder the terms: (5 + x + -1y)(-5 + x + y) = 0 Multiply (5 + x + -1y) * (-5 + x + y) (5(-5 + x + y) + x(-5 + x + y) + -1y * (-5 + x + y)) = 0 ((-5 * 5 + x * 5 + y * 5) + x(-5 + x + y) + -1y * (-5 + x + y)) = 0 ((-25 + 5x + 5y) + x(-5 + x + y) + -1y * (-5 + x + y)) = 0 (-25 + 5x + 5y + (-5 * x + x * x + y * x) + -1y * (-5 + x + y)) = 0 Reorder the terms: (-25 + 5x + 5y + (-5x + xy + x2) + -1y * (-5 + x + y)) = 0 (-25 + 5x + 5y + (-5x + xy + x2) + -1y * (-5 + x + y)) = 0 (-25 + 5x + 5y + -5x + xy + x2 + (-5 * -1y + x * -1y + y * -1y)) = 0 Reorder the terms: (-25 + 5x + 5y + -5x + xy + x2 + (-1xy + 5y + -1y2)) = 0 (-25 + 5x + 5y + -5x + xy + x2 + (-1xy + 5y + -1y2)) = 0 Reorder the terms: (-25 + 5x + -5x + xy + -1xy + x2 + 5y + 5y + -1y2) = 0 Combine like terms: 5x + -5x = 0 (-25 + 0 + xy + -1xy + x2 + 5y + 5y + -1y2) = 0 (-25 + xy + -1xy + x2 + 5y + 5y + -1y2) = 0 Combine like terms: xy + -1xy = 0 (-25 + 0 + x2 + 5y + 5y + -1y2) = 0 (-25 + x2 + 5y + 5y + -1y2) = 0 Combine like terms: 5y + 5y = 10y (-25 + x2 + 10y + -1y2) = 0 Solving -25 + x2 + 10y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + x2 + 10y + 25 + -1y2 = 0 + 25 Reorder the terms: -25 + 25 + x2 + 10y + -1y2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x2 + 10y + -1y2 = 0 + 25 x2 + 10y + -1y2 = 0 + 25 Combine like terms: 0 + 25 = 25 x2 + 10y + -1y2 = 25 Add '-10y' to each side of the equation. x2 + 10y + -10y + -1y2 = 25 + -10y Combine like terms: 10y + -10y = 0 x2 + 0 + -1y2 = 25 + -10y x2 + -1y2 = 25 + -10y Add 'y2' to each side of the equation. x2 + -1y2 + y2 = 25 + -10y + y2 Combine like terms: -1y2 + y2 = 0 x2 + 0 = 25 + -10y + y2 x2 = 25 + -10y + y2 Simplifying x2 = 25 + -10y + y2 Reorder the terms: -25 + x2 + 10y + -1y2 = 25 + -10y + y2 + -25 + 10y + -1y2 Reorder the terms: -25 + x2 + 10y + -1y2 = 25 + -25 + -10y + 10y + y2 + -1y2 Combine like terms: 25 + -25 = 0 -25 + x2 + 10y + -1y2 = 0 + -10y + 10y + y2 + -1y2 -25 + x2 + 10y + -1y2 = -10y + 10y + y2 + -1y2 Combine like terms: -10y + 10y = 0 -25 + x2 + 10y + -1y2 = 0 + y2 + -1y2 -25 + x2 + 10y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -25 + x2 + 10y + -1y2 = 0 The solution to this equation could not be determined.
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