(x+1)(x+1)-(y-3)(y-3)=9

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Solution for (x+1)(x+1)-(y-3)(y-3)=9 equation: 


Simplifying
(x + 1)(x + 1) + -1(y + -3)(y + -3) = 9

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

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

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

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) + -1(y + -3)(y + -3) = 9

Reorder the terms:
1 + 2x + x2 + -1(-3 + y)(y + -3) = 9

Reorder the terms:
1 + 2x + x2 + -1(-3 + y)(-3 + y) = 9

Multiply (-3 + y) * (-3 + y)
1 + 2x + x2 + -1(-3(-3 + y) + y(-3 + y)) = 9
1 + 2x + x2 + -1((-3 * -3 + y * -3) + y(-3 + y)) = 9
1 + 2x + x2 + -1((9 + -3y) + y(-3 + y)) = 9
1 + 2x + x2 + -1(9 + -3y + (-3 * y + y * y)) = 9
1 + 2x + x2 + -1(9 + -3y + (-3y + y2)) = 9

Combine like terms: -3y + -3y = -6y
1 + 2x + x2 + -1(9 + -6y + y2) = 9
1 + 2x + x2 + (9 * -1 + -6y * -1 + y2 * -1) = 9
1 + 2x + x2 + (-9 + 6y + -1y2) = 9

Reorder the terms:
1 + -9 + 2x + x2 + 6y + -1y2 = 9

Combine like terms: 1 + -9 = -8
-8 + 2x + x2 + 6y + -1y2 = 9

Solving
-8 + 2x + x2 + 6y + -1y2 = 9

Solving for variable 'x'.

Reorder the terms:
-8 + -9 + 2x + x2 + 6y + -1y2 = 9 + -9

Combine like terms: -8 + -9 = -17
-17 + 2x + x2 + 6y + -1y2 = 9 + -9

Combine like terms: 9 + -9 = 0
-17 + 2x + x2 + 6y + -1y2 = 0

The solution to this equation could not be determined.

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