p(x)=7x^5+35x^4y+70x^3y^2+70x^2y^3+35xy^4+7y^5

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Solution for p(x)=7x^5+35x^4y+70x^3y^2+70x^2y^3+35xy^4+7y^5 equation: 


Simplifying
p(x) = 7x5 + 35x4y + 70x3y2 + 70x2y3 + 35xy4 + 7y5

Multiply p * x
px = 7x5 + 35x4y + 70x3y2 + 70x2y3 + 35xy4 + 7y5

Reorder the terms:
px = 35xy4 + 70x2y3 + 70x3y2 + 35x4y + 7x5 + 7y5

Solving
px = 35xy4 + 70x2y3 + 70x3y2 + 35x4y + 7x5 + 7y5

Solving for variable 'p'.

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

Divide each side by 'x'.
p = 35y4 + 70xy3 + 70x2y2 + 35x3y + 7x4 + 7x-1y5

Simplifying
p = 35y4 + 70xy3 + 70x2y2 + 35x3y + 7x4 + 7x-1y5

Reorder the terms:
p = 7x-1y5 + 70xy3 + 70x2y2 + 35x3y + 7x4 + 35y4

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