(x+y)(z-5x+5y)=0

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Solution for (x+y)(z-5x+5y)=0 equation: 


Simplifying
(x + y)(z + -5x + 5y) = 0

Reorder the terms:
(x + y)(-5x + 5y + z) = 0

Multiply (x + y) * (-5x + 5y + z)
(x(-5x + 5y + z) + y(-5x + 5y + z)) = 0
((-5x * x + 5y * x + z * x) + y(-5x + 5y + z)) = 0

Reorder the terms:
((5xy + xz + -5x2) + y(-5x + 5y + z)) = 0
((5xy + xz + -5x2) + y(-5x + 5y + z)) = 0
(5xy + xz + -5x2 + (-5x * y + 5y * y + z * y)) = 0

Reorder the terms:
(5xy + xz + -5x2 + (-5xy + yz + 5y2)) = 0
(5xy + xz + -5x2 + (-5xy + yz + 5y2)) = 0

Reorder the terms:
(5xy + -5xy + xz + -5x2 + yz + 5y2) = 0

Combine like terms: 5xy + -5xy = 0
(0 + xz + -5x2 + yz + 5y2) = 0
(xz + -5x2 + yz + 5y2) = 0

Solving
xz + -5x2 + yz + 5y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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