(x+2)*(y-1)=((x*x)-7)

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Solution for (x+2)*(y-1)=((x*x)-7) equation:


Simplifying
(x + 2)(y + -1) = ((x * x) + -7)

Reorder the terms:
(2 + x)(y + -1) = ((x * x) + -7)

Reorder the terms:
(2 + x)(-1 + y) = ((x * x) + -7)

Multiply (2 + x) * (-1 + y)
(2(-1 + y) + x(-1 + y)) = ((x * x) + -7)
((-1 * 2 + y * 2) + x(-1 + y)) = ((x * x) + -7)
((-2 + 2y) + x(-1 + y)) = ((x * x) + -7)
(-2 + 2y + (-1 * x + y * x)) = ((x * x) + -7)
(-2 + 2y + (-1x + xy)) = ((x * x) + -7)

Reorder the terms:
(-2 + -1x + xy + 2y) = ((x * x) + -7)
(-2 + -1x + xy + 2y) = ((x * x) + -7)

Multiply x * x
-2 + -1x + xy + 2y = ((x2) + -7)
-2 + -1x + xy + 2y = (x2 + -7)

Reorder the terms:
-2 + -1x + xy + 2y = (-7 + x2)

Remove parenthesis around (-7 + x2)
-2 + -1x + xy + 2y = -7 + x2

Solving
-2 + -1x + xy + 2y = -7 + x2

Solving for variable 'x'.

Reorder the terms:
-2 + 7 + -1x + xy + -1x2 + 2y = -7 + x2 + 7 + -1x2

Combine like terms: -2 + 7 = 5
5 + -1x + xy + -1x2 + 2y = -7 + x2 + 7 + -1x2

Reorder the terms:
5 + -1x + xy + -1x2 + 2y = -7 + 7 + x2 + -1x2

Combine like terms: -7 + 7 = 0
5 + -1x + xy + -1x2 + 2y = 0 + x2 + -1x2
5 + -1x + xy + -1x2 + 2y = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + -1x + xy + -1x2 + 2y = 0

The solution to this equation could not be determined.

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