5(5-x)(5-x)(5-y)=250

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Solution for 5(5-x)(5-x)(5-y)=250 equation: 


Simplifying
5(5 + -1x)(5 + -1x)(5 + -1y) = 250

Multiply (5 + -1x) * (5 + -1x)
5(5(5 + -1x) + -1x * (5 + -1x))(5 + -1y) = 250
5((5 * 5 + -1x * 5) + -1x * (5 + -1x))(5 + -1y) = 250
5((25 + -5x) + -1x * (5 + -1x))(5 + -1y) = 250
5(25 + -5x + (5 * -1x + -1x * -1x))(5 + -1y) = 250
5(25 + -5x + (-5x + 1x2))(5 + -1y) = 250

Combine like terms: -5x + -5x = -10x
5(25 + -10x + 1x2)(5 + -1y) = 250

Multiply (25 + -10x + 1x2) * (5 + -1y)
5(25(5 + -1y) + -10x * (5 + -1y) + 1x2 * (5 + -1y)) = 250
5((5 * 25 + -1y * 25) + -10x * (5 + -1y) + 1x2 * (5 + -1y)) = 250
5((125 + -25y) + -10x * (5 + -1y) + 1x2 * (5 + -1y)) = 250
5(125 + -25y + (5 * -10x + -1y * -10x) + 1x2 * (5 + -1y)) = 250
5(125 + -25y + (-50x + 10xy) + 1x2 * (5 + -1y)) = 250
5(125 + -25y + -50x + 10xy + (5 * 1x2 + -1y * 1x2)) = 250
5(125 + -25y + -50x + 10xy + (5x2 + -1x2y)) = 250

Reorder the terms:
5(125 + -50x + 10xy + 5x2 + -1x2y + -25y) = 250
5(125 + -50x + 10xy + 5x2 + -1x2y + -25y) = 250
(125 * 5 + -50x * 5 + 10xy * 5 + 5x2 * 5 + -1x2y * 5 + -25y * 5) = 250
(625 + -250x + 50xy + 25x2 + -5x2y + -125y) = 250

Solving
625 + -250x + 50xy + 25x2 + -5x2y + -125y = 250

Solving for variable 'x'.

Reorder the terms:
625 + -250 + -250x + 50xy + 25x2 + -5x2y + -125y = 250 + -250

Combine like terms: 625 + -250 = 375
375 + -250x + 50xy + 25x2 + -5x2y + -125y = 250 + -250

Combine like terms: 250 + -250 = 0
375 + -250x + 50xy + 25x2 + -5x2y + -125y = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(75 + -50x + 10xy + 5x2 + -1x2y + -25y) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(75 + -50x + 10xy + 5x2 + -1x2y + -25y)' equal to zero and attempt to solve:

Simplifying
75 + -50x + 10xy + 5x2 + -1x2y + -25y = 0

Solving
75 + -50x + 10xy + 5x2 + -1x2y + -25y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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