[(x+2y)-3w][(x-2y)+3w]=

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Solution for [(x+2y)-3w][(x-2y)+3w]= equation: 


Simplifying
[(x + 2y) + -3w][(x + -2y) + 3w] = 0

Remove parenthesis around (x + 2y)
[x + 2y + -3w][(x + -2y) + 3w] = 0

Reorder the terms:
[-3w + x + 2y][(x + -2y) + 3w] = 0

Remove parenthesis around (x + -2y)
[-3w + x + 2y][x + -2y + 3w] = 0

Reorder the terms:
[-3w + x + 2y][3w + x + -2y] = 0

Multiply [-3w + x + 2y] * [3w + x + -2y]
[-3w * [3w + x + -2y] + x[3w + x + -2y] + 2y * [3w + x + -2y]] = 0
[[3w * -3w + x * -3w + -2y * -3w] + x[3w + x + -2y] + 2y * [3w + x + -2y]] = 0

Reorder the terms:
[[-3wx + 6wy + -9w2] + x[3w + x + -2y] + 2y * [3w + x + -2y]] = 0
[[-3wx + 6wy + -9w2] + x[3w + x + -2y] + 2y * [3w + x + -2y]] = 0
[-3wx + 6wy + -9w2 + [3w * x + x * x + -2y * x] + 2y * [3w + x + -2y]] = 0

Reorder the terms:
[-3wx + 6wy + -9w2 + [3wx + -2xy + x2] + 2y * [3w + x + -2y]] = 0
[-3wx + 6wy + -9w2 + [3wx + -2xy + x2] + 2y * [3w + x + -2y]] = 0
[-3wx + 6wy + -9w2 + 3wx + -2xy + x2 + [3w * 2y + x * 2y + -2y * 2y]] = 0
[-3wx + 6wy + -9w2 + 3wx + -2xy + x2 + [6wy + 2xy + -4y2]] = 0

Reorder the terms:
[-3wx + 3wx + 6wy + 6wy + -9w2 + -2xy + 2xy + x2 + -4y2] = 0

Combine like terms: -3wx + 3wx = 0
[0 + 6wy + 6wy + -9w2 + -2xy + 2xy + x2 + -4y2] = 0
[6wy + 6wy + -9w2 + -2xy + 2xy + x2 + -4y2] = 0

Combine like terms: 6wy + 6wy = 12wy
[12wy + -9w2 + -2xy + 2xy + x2 + -4y2] = 0

Combine like terms: -2xy + 2xy = 0
[12wy + -9w2 + 0 + x2 + -4y2] = 0
[12wy + -9w2 + x2 + -4y2] = 0

Solving
12wy + -9w2 + x2 + -4y2 = 0

Solving for variable 'w'.

The solution to this equation could not be determined.

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