(x+3)*(3+x)=(y+3)*(3+y)

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Solution for (x+3)*(3+x)=(y+3)*(3+y) equation:


Simplifying
(x + 3)(3 + x) = (y + 3)(3 + y)

Reorder the terms:
(3 + x)(3 + x) = (y + 3)(3 + y)

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = (y + 3)(3 + y)
((3 * 3 + x * 3) + x(3 + x)) = (y + 3)(3 + y)
((9 + 3x) + x(3 + x)) = (y + 3)(3 + y)
(9 + 3x + (3 * x + x * x)) = (y + 3)(3 + y)
(9 + 3x + (3x + x2)) = (y + 3)(3 + y)

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = (y + 3)(3 + y)

Reorder the terms:
9 + 6x + x2 = (3 + y)(3 + y)

Multiply (3 + y) * (3 + y)
9 + 6x + x2 = (3(3 + y) + y(3 + y))
9 + 6x + x2 = ((3 * 3 + y * 3) + y(3 + y))
9 + 6x + x2 = ((9 + 3y) + y(3 + y))
9 + 6x + x2 = (9 + 3y + (3 * y + y * y))
9 + 6x + x2 = (9 + 3y + (3y + y2))

Combine like terms: 3y + 3y = 6y
9 + 6x + x2 = (9 + 6y + y2)

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

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

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

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

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

Solving
6x + x2 = 6y + y2

Solving for variable 'x'.

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

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

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

The solution to this equation could not be determined.

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