(x-4)(y-4)=160

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Solution for (x-4)(y-4)=160 equation:


Simplifying
(x + -4)(y + -4) = 160

Reorder the terms:
(-4 + x)(y + -4) = 160

Reorder the terms:
(-4 + x)(-4 + y) = 160

Multiply (-4 + x) * (-4 + y)
(-4(-4 + y) + x(-4 + y)) = 160
((-4 * -4 + y * -4) + x(-4 + y)) = 160
((16 + -4y) + x(-4 + y)) = 160
(16 + -4y + (-4 * x + y * x)) = 160
(16 + -4y + (-4x + xy)) = 160

Reorder the terms:
(16 + -4x + xy + -4y) = 160
(16 + -4x + xy + -4y) = 160

Solving
16 + -4x + xy + -4y = 160

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -4x + xy + -16 + -4y = 160 + -16

Reorder the terms:
16 + -16 + -4x + xy + -4y = 160 + -16

Combine like terms: 16 + -16 = 0
0 + -4x + xy + -4y = 160 + -16
-4x + xy + -4y = 160 + -16

Combine like terms: 160 + -16 = 144
-4x + xy + -4y = 144

Add '4y' to each side of the equation.
-4x + xy + -4y + 4y = 144 + 4y

Combine like terms: -4y + 4y = 0
-4x + xy + 0 = 144 + 4y
-4x + xy = 144 + 4y

Reorder the terms:
-144 + -4x + xy + -4y = 144 + 4y + -144 + -4y

Reorder the terms:
-144 + -4x + xy + -4y = 144 + -144 + 4y + -4y

Combine like terms: 144 + -144 = 0
-144 + -4x + xy + -4y = 0 + 4y + -4y
-144 + -4x + xy + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-144 + -4x + xy + -4y = 0

The solution to this equation could not be determined.

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