(y+5)(x+4)=x^2-16

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Solution for (y+5)(x+4)=x^2-16 equation: 


Simplifying
(y + 5)(x + 4) = x2 + -16

Reorder the terms:
(5 + y)(x + 4) = x2 + -16

Reorder the terms:
(5 + y)(4 + x) = x2 + -16

Multiply (5 + y) * (4 + x)
(5(4 + x) + y(4 + x)) = x2 + -16
((4 * 5 + x * 5) + y(4 + x)) = x2 + -16
((20 + 5x) + y(4 + x)) = x2 + -16
(20 + 5x + (4 * y + x * y)) = x2 + -16

Reorder the terms:
(20 + 5x + (xy + 4y)) = x2 + -16
(20 + 5x + (xy + 4y)) = x2 + -16
(20 + 5x + xy + 4y) = x2 + -16

Reorder the terms:
20 + 5x + xy + 4y = -16 + x2

Solving
20 + 5x + xy + 4y = -16 + x2

Solving for variable 'x'.

Reorder the terms:
20 + 16 + 5x + xy + -1x2 + 4y = -16 + x2 + 16 + -1x2

Combine like terms: 20 + 16 = 36
36 + 5x + xy + -1x2 + 4y = -16 + x2 + 16 + -1x2

Reorder the terms:
36 + 5x + xy + -1x2 + 4y = -16 + 16 + x2 + -1x2

Combine like terms: -16 + 16 = 0
36 + 5x + xy + -1x2 + 4y = 0 + x2 + -1x2
36 + 5x + xy + -1x2 + 4y = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + 5x + xy + -1x2 + 4y = 0

The solution to this equation could not be determined.

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