x+y-36=2x(y-2)

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Solution for x+y-36=2x(y-2) equation:


Simplifying
x + y + -36 = 2x(y + -2)

Reorder the terms:
-36 + x + y = 2x(y + -2)

Reorder the terms:
-36 + x + y = 2x(-2 + y)
-36 + x + y = (-2 * 2x + y * 2x)
-36 + x + y = (-4x + 2xy)

Solving
-36 + x + y = -4x + 2xy

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-36 + x + 4x + y = -4x + 4x + 2xy

Combine like terms: x + 4x = 5x
-36 + 5x + y = -4x + 4x + 2xy

Combine like terms: -4x + 4x = 0
-36 + 5x + y = 0 + 2xy
-36 + 5x + y = 2xy

Add '-2xy' to each side of the equation.
-36 + 5x + -2xy + y = 2xy + -2xy

Combine like terms: 2xy + -2xy = 0
-36 + 5x + -2xy + y = 0

Add '36' to each side of the equation.
-36 + 5x + -2xy + 36 + y = 0 + 36

Reorder the terms:
-36 + 36 + 5x + -2xy + y = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 5x + -2xy + y = 0 + 36
5x + -2xy + y = 0 + 36

Combine like terms: 0 + 36 = 36
5x + -2xy + y = 36

Add '-1y' to each side of the equation.
5x + -2xy + y + -1y = 36 + -1y

Combine like terms: y + -1y = 0
5x + -2xy + 0 = 36 + -1y
5x + -2xy = 36 + -1y

Reorder the terms:
-36 + 5x + -2xy + y = 36 + -1y + -36 + y

Reorder the terms:
-36 + 5x + -2xy + y = 36 + -36 + -1y + y

Combine like terms: 36 + -36 = 0
-36 + 5x + -2xy + y = 0 + -1y + y
-36 + 5x + -2xy + y = -1y + y

Combine like terms: -1y + y = 0
-36 + 5x + -2xy + y = 0

The solution to this equation could not be determined.

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