(X-2)(Y+2)=10

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Solution for (X-2)(Y+2)=10 equation:


Simplifying
(X + -2)(Y + 2) = 10

Reorder the terms:
(-2 + X)(Y + 2) = 10

Reorder the terms:
(-2 + X)(2 + Y) = 10

Multiply (-2 + X) * (2 + Y)
(-2(2 + Y) + X(2 + Y)) = 10
((2 * -2 + Y * -2) + X(2 + Y)) = 10
((-4 + -2Y) + X(2 + Y)) = 10
(-4 + -2Y + (2 * X + Y * X)) = 10
(-4 + -2Y + (2X + XY)) = 10

Reorder the terms:
(-4 + 2X + XY + -2Y) = 10
(-4 + 2X + XY + -2Y) = 10

Solving
-4 + 2X + XY + -2Y = 10

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 2X + XY + 4 + -2Y = 10 + 4

Reorder the terms:
-4 + 4 + 2X + XY + -2Y = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 2X + XY + -2Y = 10 + 4
2X + XY + -2Y = 10 + 4

Combine like terms: 10 + 4 = 14
2X + XY + -2Y = 14

Add '2Y' to each side of the equation.
2X + XY + -2Y + 2Y = 14 + 2Y

Combine like terms: -2Y + 2Y = 0
2X + XY + 0 = 14 + 2Y
2X + XY = 14 + 2Y

Reorder the terms:
-14 + 2X + XY + -2Y = 14 + 2Y + -14 + -2Y

Reorder the terms:
-14 + 2X + XY + -2Y = 14 + -14 + 2Y + -2Y

Combine like terms: 14 + -14 = 0
-14 + 2X + XY + -2Y = 0 + 2Y + -2Y
-14 + 2X + XY + -2Y = 2Y + -2Y

Combine like terms: 2Y + -2Y = 0
-14 + 2X + XY + -2Y = 0

The solution to this equation could not be determined.

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