z=((5xy+y)(5xy+y))

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Solution for z=((5xy+y)(5xy+y)) equation:


Simplifying
z = ((5xy + y)(5xy + y))

Multiply (5xy + y) * (5xy + y)
z = ((5xy * (5xy + y) + y(5xy + y)))
z = (((5xy * 5xy + y * 5xy) + y(5xy + y)))

Reorder the terms:
z = (((5xy2 + 25x2y2) + y(5xy + y)))
z = (((5xy2 + 25x2y2) + y(5xy + y)))
z = ((5xy2 + 25x2y2 + (5xy * y + y * y)))
z = ((5xy2 + 25x2y2 + (5xy2 + y2)))

Reorder the terms:
z = ((5xy2 + 5xy2 + 25x2y2 + y2))

Combine like terms: 5xy2 + 5xy2 = 10xy2
z = ((10xy2 + 25x2y2 + y2))
z = (10xy2 + 25x2y2 + y2)

Remove parenthesis around (10xy2 + 25x2y2 + y2)
z = 10xy2 + 25x2y2 + y2

Solving
z = 10xy2 + 25x2y2 + y2

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying
z = 10xy2 + 25x2y2 + y2

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