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

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


Simplifying
[x + (3 + -1y)][x + -1(3 + -1y)] = 0

Remove parenthesis around (3 + -1y)
[x + 3 + -1y][x + -1(3 + -1y)] = 0

Reorder the terms:
[3 + x + -1y][x + -1(3 + -1y)] = 0
[3 + x + -1y][x + (3 * -1 + -1y * -1)] = 0
[3 + x + -1y][x + (-3 + 1y)] = 0

Reorder the terms:
[3 + x + -1y][-3 + x + 1y] = 0

Multiply [3 + x + -1y] * [-3 + x + 1y]
[3[-3 + x + 1y] + x[-3 + x + 1y] + -1y * [-3 + x + 1y]] = 0
[[-3 * 3 + x * 3 + 1y * 3] + x[-3 + x + 1y] + -1y * [-3 + x + 1y]] = 0
[[-9 + 3x + 3y] + x[-3 + x + 1y] + -1y * [-3 + x + 1y]] = 0
[-9 + 3x + 3y + [-3 * x + x * x + 1y * x] + -1y * [-3 + x + 1y]] = 0

Reorder the terms:
[-9 + 3x + 3y + [-3x + 1xy + x2] + -1y * [-3 + x + 1y]] = 0
[-9 + 3x + 3y + [-3x + 1xy + x2] + -1y * [-3 + x + 1y]] = 0
[-9 + 3x + 3y + -3x + 1xy + x2 + [-3 * -1y + x * -1y + 1y * -1y]] = 0

Reorder the terms:
[-9 + 3x + 3y + -3x + 1xy + x2 + [-1xy + 3y + -1y2]] = 0
[-9 + 3x + 3y + -3x + 1xy + x2 + [-1xy + 3y + -1y2]] = 0

Reorder the terms:
[-9 + 3x + -3x + 1xy + -1xy + x2 + 3y + 3y + -1y2] = 0

Combine like terms: 3x + -3x = 0
[-9 + 0 + 1xy + -1xy + x2 + 3y + 3y + -1y2] = 0
[-9 + 1xy + -1xy + x2 + 3y + 3y + -1y2] = 0

Combine like terms: 1xy + -1xy = 0
[-9 + 0 + x2 + 3y + 3y + -1y2] = 0
[-9 + x2 + 3y + 3y + -1y2] = 0

Combine like terms: 3y + 3y = 6y
[-9 + x2 + 6y + -1y2] = 0

Solving
-9 + x2 + 6y + -1y2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + x2 + 6y + 9 + -1y2 = 0 + 9

Reorder the terms:
-9 + 9 + x2 + 6y + -1y2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x2 + 6y + -1y2 = 0 + 9
x2 + 6y + -1y2 = 0 + 9

Combine like terms: 0 + 9 = 9
x2 + 6y + -1y2 = 9

Add '-6y' to each side of the equation.
x2 + 6y + -6y + -1y2 = 9 + -6y

Combine like terms: 6y + -6y = 0
x2 + 0 + -1y2 = 9 + -6y
x2 + -1y2 = 9 + -6y

Add 'y2' to each side of the equation.
x2 + -1y2 + y2 = 9 + -6y + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 = 9 + -6y + y2
x2 = 9 + -6y + y2

Simplifying
x2 = 9 + -6y + y2

Reorder the terms:
-9 + x2 + 6y + -1y2 = 9 + -6y + y2 + -9 + 6y + -1y2

Reorder the terms:
-9 + x2 + 6y + -1y2 = 9 + -9 + -6y + 6y + y2 + -1y2

Combine like terms: 9 + -9 = 0
-9 + x2 + 6y + -1y2 = 0 + -6y + 6y + y2 + -1y2
-9 + x2 + 6y + -1y2 = -6y + 6y + y2 + -1y2

Combine like terms: -6y + 6y = 0
-9 + x2 + 6y + -1y2 = 0 + y2 + -1y2
-9 + x2 + 6y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-9 + x2 + 6y + -1y2 = 0

The solution to this equation could not be determined.

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