=(x^2+3xy-2)(xy+3)

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Solution for =(x^2+3xy-2)(xy+3) equation: 


Simplifying
0 = (x2 + 3xy + -2)(xy + 3)

Reorder the terms:
0 = (-2 + 3xy + x2)(xy + 3)

Reorder the terms:
0 = (-2 + 3xy + x2)(3 + xy)

Multiply (-2 + 3xy + x2) * (3 + xy)
0 = (-2(3 + xy) + 3xy * (3 + xy) + x2(3 + xy))
0 = ((3 * -2 + xy * -2) + 3xy * (3 + xy) + x2(3 + xy))
0 = ((-6 + -2xy) + 3xy * (3 + xy) + x2(3 + xy))
0 = (-6 + -2xy + (3 * 3xy + xy * 3xy) + x2(3 + xy))
0 = (-6 + -2xy + (9xy + 3x2y2) + x2(3 + xy))
0 = (-6 + -2xy + 9xy + 3x2y2 + (3 * x2 + xy * x2))
0 = (-6 + -2xy + 9xy + 3x2y2 + (3x2 + x3y))

Reorder the terms:
0 = (-6 + -2xy + 9xy + 3x2 + 3x2y2 + x3y)

Combine like terms: -2xy + 9xy = 7xy
0 = (-6 + 7xy + 3x2 + 3x2y2 + x3y)

Solving
0 = -6 + 7xy + 3x2 + 3x2y2 + x3y

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -7xy + -3x2 + -3x2y2 + -1x3y = -6 + 7xy + 3x2 + 3x2y2 + x3y + 6 + -7xy + -3x2 + -3x2y2 + -1x3y

Reorder the terms:
6 + -7xy + -3x2 + -3x2y2 + -1x3y = -6 + 6 + 7xy + -7xy + 3x2 + -3x2 + 3x2y2 + -3x2y2 + x3y + -1x3y

Combine like terms: -6 + 6 = 0
6 + -7xy + -3x2 + -3x2y2 + -1x3y = 0 + 7xy + -7xy + 3x2 + -3x2 + 3x2y2 + -3x2y2 + x3y + -1x3y
6 + -7xy + -3x2 + -3x2y2 + -1x3y = 7xy + -7xy + 3x2 + -3x2 + 3x2y2 + -3x2y2 + x3y + -1x3y

Combine like terms: 7xy + -7xy = 0
6 + -7xy + -3x2 + -3x2y2 + -1x3y = 0 + 3x2 + -3x2 + 3x2y2 + -3x2y2 + x3y + -1x3y
6 + -7xy + -3x2 + -3x2y2 + -1x3y = 3x2 + -3x2 + 3x2y2 + -3x2y2 + x3y + -1x3y

Combine like terms: 3x2 + -3x2 = 0
6 + -7xy + -3x2 + -3x2y2 + -1x3y = 0 + 3x2y2 + -3x2y2 + x3y + -1x3y
6 + -7xy + -3x2 + -3x2y2 + -1x3y = 3x2y2 + -3x2y2 + x3y + -1x3y

Combine like terms: 3x2y2 + -3x2y2 = 0
6 + -7xy + -3x2 + -3x2y2 + -1x3y = 0 + x3y + -1x3y
6 + -7xy + -3x2 + -3x2y2 + -1x3y = x3y + -1x3y

Combine like terms: x3y + -1x3y = 0
6 + -7xy + -3x2 + -3x2y2 + -1x3y = 0

The solution to this equation could not be determined.

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