(x-4)(y+3)=35

Solution for (x-4)(y+3)=35 equation:

Simplifying
(x + -4)(y + 3) = 35

Reorder the terms:
(-4 + x)(y + 3) = 35

Reorder the terms:
(-4 + x)(3 + y) = 35

Multiply (-4 + x) * (3 + y)
(-4(3 + y) + x(3 + y)) = 35
((3 * -4 + y * -4) + x(3 + y)) = 35
((-12 + -4y) + x(3 + y)) = 35
(-12 + -4y + (3 * x + y * x)) = 35
(-12 + -4y + (3x + xy)) = 35

Reorder the terms:
(-12 + 3x + xy + -4y) = 35
(-12 + 3x + xy + -4y) = 35

Solving
-12 + 3x + xy + -4y = 35

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 + 3x + xy + 12 + -4y = 35 + 12

Reorder the terms:
-12 + 12 + 3x + xy + -4y = 35 + 12

Combine like terms: -12 + 12 = 0
0 + 3x + xy + -4y = 35 + 12
3x + xy + -4y = 35 + 12

Combine like terms: 35 + 12 = 47
3x + xy + -4y = 47

Add '4y' to each side of the equation.
3x + xy + -4y + 4y = 47 + 4y

Combine like terms: -4y + 4y = 0
3x + xy + 0 = 47 + 4y
3x + xy = 47 + 4y

Reorder the terms:
-47 + 3x + xy + -4y = 47 + 4y + -47 + -4y

Reorder the terms:
-47 + 3x + xy + -4y = 47 + -47 + 4y + -4y

Combine like terms: 47 + -47 = 0
-47 + 3x + xy + -4y = 0 + 4y + -4y
-47 + 3x + xy + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-47 + 3x + xy + -4y = 0

The solution to this equation could not be determined.