(x-3)(y+4)=12

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Solution for (x-3)(y+4)=12 equation:


Simplifying
(x + -3)(y + 4) = 12

Reorder the terms:
(-3 + x)(y + 4) = 12

Reorder the terms:
(-3 + x)(4 + y) = 12

Multiply (-3 + x) * (4 + y)
(-3(4 + y) + x(4 + y)) = 12
((4 * -3 + y * -3) + x(4 + y)) = 12
((-12 + -3y) + x(4 + y)) = 12
(-12 + -3y + (4 * x + y * x)) = 12
(-12 + -3y + (4x + xy)) = 12

Reorder the terms:
(-12 + 4x + xy + -3y) = 12
(-12 + 4x + xy + -3y) = 12

Solving
-12 + 4x + xy + -3y = 12

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 4x + xy + 12 + -3y = 12 + 12

Reorder the terms:
-12 + 12 + 4x + xy + -3y = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 4x + xy + -3y = 12 + 12
4x + xy + -3y = 12 + 12

Combine like terms: 12 + 12 = 24
4x + xy + -3y = 24

Add '3y' to each side of the equation.
4x + xy + -3y + 3y = 24 + 3y

Combine like terms: -3y + 3y = 0
4x + xy + 0 = 24 + 3y
4x + xy = 24 + 3y

Reorder the terms:
-24 + 4x + xy + -3y = 24 + 3y + -24 + -3y

Reorder the terms:
-24 + 4x + xy + -3y = 24 + -24 + 3y + -3y

Combine like terms: 24 + -24 = 0
-24 + 4x + xy + -3y = 0 + 3y + -3y
-24 + 4x + xy + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-24 + 4x + xy + -3y = 0

The solution to this equation could not be determined.

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