x^2-y^2-6y-9=(x+y+3)(x-y-3)

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Solution for x^2-y^2-6y-9=(x+y+3)(x-y-3) equation: 


Simplifying
x2 + -1y2 + -6y + -9 = (x + y + 3)(x + -1y + -3)

Reorder the terms:
-9 + x2 + -6y + -1y2 = (x + y + 3)(x + -1y + -3)

Reorder the terms:
-9 + x2 + -6y + -1y2 = (3 + x + y)(x + -1y + -3)

Reorder the terms:
-9 + x2 + -6y + -1y2 = (3 + x + y)(-3 + x + -1y)

Multiply (3 + x + y) * (-3 + x + -1y)
-9 + x2 + -6y + -1y2 = (3(-3 + x + -1y) + x(-3 + x + -1y) + y(-3 + x + -1y))
-9 + x2 + -6y + -1y2 = ((-3 * 3 + x * 3 + -1y * 3) + x(-3 + x + -1y) + y(-3 + x + -1y))
-9 + x2 + -6y + -1y2 = ((-9 + 3x + -3y) + x(-3 + x + -1y) + y(-3 + x + -1y))
-9 + x2 + -6y + -1y2 = (-9 + 3x + -3y + (-3 * x + x * x + -1y * x) + y(-3 + x + -1y))

Reorder the terms:
-9 + x2 + -6y + -1y2 = (-9 + 3x + -3y + (-3x + -1xy + x2) + y(-3 + x + -1y))
-9 + x2 + -6y + -1y2 = (-9 + 3x + -3y + (-3x + -1xy + x2) + y(-3 + x + -1y))
-9 + x2 + -6y + -1y2 = (-9 + 3x + -3y + -3x + -1xy + x2 + (-3 * y + x * y + -1y * y))

Reorder the terms:
-9 + x2 + -6y + -1y2 = (-9 + 3x + -3y + -3x + -1xy + x2 + (xy + -3y + -1y2))
-9 + x2 + -6y + -1y2 = (-9 + 3x + -3y + -3x + -1xy + x2 + (xy + -3y + -1y2))

Reorder the terms:
-9 + x2 + -6y + -1y2 = (-9 + 3x + -3x + -1xy + xy + x2 + -3y + -3y + -1y2)

Combine like terms: 3x + -3x = 0
-9 + x2 + -6y + -1y2 = (-9 + 0 + -1xy + xy + x2 + -3y + -3y + -1y2)
-9 + x2 + -6y + -1y2 = (-9 + -1xy + xy + x2 + -3y + -3y + -1y2)

Combine like terms: -1xy + xy = 0
-9 + x2 + -6y + -1y2 = (-9 + 0 + x2 + -3y + -3y + -1y2)
-9 + x2 + -6y + -1y2 = (-9 + x2 + -3y + -3y + -1y2)

Combine like terms: -3y + -3y = -6y
-9 + x2 + -6y + -1y2 = (-9 + x2 + -6y + -1y2)

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

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

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

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

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

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

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

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

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

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

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

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

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

Add 'y2' to each side of the equation.
-1y2 + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
0 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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