(x+3)(y-6)=360

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Solution for (x+3)(y-6)=360 equation:


Simplifying
(x + 3)(y + -6) = 360

Reorder the terms:
(3 + x)(y + -6) = 360

Reorder the terms:
(3 + x)(-6 + y) = 360

Multiply (3 + x) * (-6 + y)
(3(-6 + y) + x(-6 + y)) = 360
((-6 * 3 + y * 3) + x(-6 + y)) = 360
((-18 + 3y) + x(-6 + y)) = 360
(-18 + 3y + (-6 * x + y * x)) = 360
(-18 + 3y + (-6x + xy)) = 360

Reorder the terms:
(-18 + -6x + xy + 3y) = 360
(-18 + -6x + xy + 3y) = 360

Solving
-18 + -6x + xy + 3y = 360

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + -6x + xy + 18 + 3y = 360 + 18

Reorder the terms:
-18 + 18 + -6x + xy + 3y = 360 + 18

Combine like terms: -18 + 18 = 0
0 + -6x + xy + 3y = 360 + 18
-6x + xy + 3y = 360 + 18

Combine like terms: 360 + 18 = 378
-6x + xy + 3y = 378

Add '-3y' to each side of the equation.
-6x + xy + 3y + -3y = 378 + -3y

Combine like terms: 3y + -3y = 0
-6x + xy + 0 = 378 + -3y
-6x + xy = 378 + -3y

Reorder the terms:
-378 + -6x + xy + 3y = 378 + -3y + -378 + 3y

Reorder the terms:
-378 + -6x + xy + 3y = 378 + -378 + -3y + 3y

Combine like terms: 378 + -378 = 0
-378 + -6x + xy + 3y = 0 + -3y + 3y
-378 + -6x + xy + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-378 + -6x + xy + 3y = 0

The solution to this equation could not be determined.

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