2*x*x(x-1)+y(3x+7)=x^3-xy(3+x)+31y

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Solution for 2*x*x(x-1)+y(3x+7)=x^3-xy(3+x)+31y equation: 


Simplifying
2x * x(x + -1) + y(3x + 7) = x3 + -1xy(3 + x) + 31y

Reorder the terms:
2x * x(-1 + x) + y(3x + 7) = x3 + -1xy(3 + x) + 31y

Multiply x * x
2x2(-1 + x) + y(3x + 7) = x3 + -1xy(3 + x) + 31y
(-1 * 2x2 + x * 2x2) + y(3x + 7) = x3 + -1xy(3 + x) + 31y
(-2x2 + 2x3) + y(3x + 7) = x3 + -1xy(3 + x) + 31y

Reorder the terms:
-2x2 + 2x3 + y(7 + 3x) = x3 + -1xy(3 + x) + 31y
-2x2 + 2x3 + (7 * y + 3x * y) = x3 + -1xy(3 + x) + 31y

Reorder the terms:
-2x2 + 2x3 + (3xy + 7y) = x3 + -1xy(3 + x) + 31y
-2x2 + 2x3 + (3xy + 7y) = x3 + -1xy(3 + x) + 31y

Reorder the terms:
3xy + -2x2 + 2x3 + 7y = x3 + -1xy(3 + x) + 31y
3xy + -2x2 + 2x3 + 7y = x3 + (3 * -1xy + x * -1xy) + 31y
3xy + -2x2 + 2x3 + 7y = x3 + (-3xy + -1x2y) + 31y

Reorder the terms:
3xy + -2x2 + 2x3 + 7y = -3xy + -1x2y + x3 + 31y

Solving
3xy + -2x2 + 2x3 + 7y = -3xy + -1x2y + x3 + 31y

Solving for variable 'x'.

Reorder the terms:
3xy + 3xy + -2x2 + x2y + 2x3 + -1x3 + 7y + -31y = -3xy + -1x2y + x3 + 31y + 3xy + x2y + -1x3 + -31y

Combine like terms: 3xy + 3xy = 6xy
6xy + -2x2 + x2y + 2x3 + -1x3 + 7y + -31y = -3xy + -1x2y + x3 + 31y + 3xy + x2y + -1x3 + -31y

Combine like terms: 2x3 + -1x3 = 1x3
6xy + -2x2 + x2y + 1x3 + 7y + -31y = -3xy + -1x2y + x3 + 31y + 3xy + x2y + -1x3 + -31y

Combine like terms: 7y + -31y = -24y
6xy + -2x2 + x2y + 1x3 + -24y = -3xy + -1x2y + x3 + 31y + 3xy + x2y + -1x3 + -31y

Reorder the terms:
6xy + -2x2 + x2y + 1x3 + -24y = -3xy + 3xy + -1x2y + x2y + x3 + -1x3 + 31y + -31y

Combine like terms: -3xy + 3xy = 0
6xy + -2x2 + x2y + 1x3 + -24y = 0 + -1x2y + x2y + x3 + -1x3 + 31y + -31y
6xy + -2x2 + x2y + 1x3 + -24y = -1x2y + x2y + x3 + -1x3 + 31y + -31y

Combine like terms: -1x2y + x2y = 0
6xy + -2x2 + x2y + 1x3 + -24y = 0 + x3 + -1x3 + 31y + -31y
6xy + -2x2 + x2y + 1x3 + -24y = x3 + -1x3 + 31y + -31y

Combine like terms: x3 + -1x3 = 0
6xy + -2x2 + x2y + 1x3 + -24y = 0 + 31y + -31y
6xy + -2x2 + x2y + 1x3 + -24y = 31y + -31y

Combine like terms: 31y + -31y = 0
6xy + -2x2 + x2y + 1x3 + -24y = 0

The solution to this equation could not be determined.

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