(x-3)(y+5)=-17

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Solution for (x-3)(y+5)=-17 equation:


Simplifying
(x + -3)(y + 5) = -17

Reorder the terms:
(-3 + x)(y + 5) = -17

Reorder the terms:
(-3 + x)(5 + y) = -17

Multiply (-3 + x) * (5 + y)
(-3(5 + y) + x(5 + y)) = -17
((5 * -3 + y * -3) + x(5 + y)) = -17
((-15 + -3y) + x(5 + y)) = -17
(-15 + -3y + (5 * x + y * x)) = -17
(-15 + -3y + (5x + xy)) = -17

Reorder the terms:
(-15 + 5x + xy + -3y) = -17
(-15 + 5x + xy + -3y) = -17

Solving
-15 + 5x + xy + -3y = -17

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 5x + xy + 15 + -3y = -17 + 15

Reorder the terms:
-15 + 15 + 5x + xy + -3y = -17 + 15

Combine like terms: -15 + 15 = 0
0 + 5x + xy + -3y = -17 + 15
5x + xy + -3y = -17 + 15

Combine like terms: -17 + 15 = -2
5x + xy + -3y = -2

Add '3y' to each side of the equation.
5x + xy + -3y + 3y = -2 + 3y

Combine like terms: -3y + 3y = 0
5x + xy + 0 = -2 + 3y
5x + xy = -2 + 3y

Reorder the terms:
2 + 5x + xy + -3y = -2 + 3y + 2 + -3y

Reorder the terms:
2 + 5x + xy + -3y = -2 + 2 + 3y + -3y

Combine like terms: -2 + 2 = 0
2 + 5x + xy + -3y = 0 + 3y + -3y
2 + 5x + xy + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 5x + xy + -3y = 0

The solution to this equation could not be determined.

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