(x-4)(x-4)+(y+8)(y+8)=625

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Solution for (x-4)(x-4)+(y+8)(y+8)=625 equation: 


Simplifying
(x + -4)(x + -4) + (y + 8)(y + 8) = 625

Reorder the terms:
(-4 + x)(x + -4) + (y + 8)(y + 8) = 625

Reorder the terms:
(-4 + x)(-4 + x) + (y + 8)(y + 8) = 625

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) + (y + 8)(y + 8) = 625
((-4 * -4 + x * -4) + x(-4 + x)) + (y + 8)(y + 8) = 625
((16 + -4x) + x(-4 + x)) + (y + 8)(y + 8) = 625
(16 + -4x + (-4 * x + x * x)) + (y + 8)(y + 8) = 625
(16 + -4x + (-4x + x2)) + (y + 8)(y + 8) = 625

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) + (y + 8)(y + 8) = 625

Reorder the terms:
16 + -8x + x2 + (8 + y)(y + 8) = 625

Reorder the terms:
16 + -8x + x2 + (8 + y)(8 + y) = 625

Multiply (8 + y) * (8 + y)
16 + -8x + x2 + (8(8 + y) + y(8 + y)) = 625
16 + -8x + x2 + ((8 * 8 + y * 8) + y(8 + y)) = 625
16 + -8x + x2 + ((64 + 8y) + y(8 + y)) = 625
16 + -8x + x2 + (64 + 8y + (8 * y + y * y)) = 625
16 + -8x + x2 + (64 + 8y + (8y + y2)) = 625

Combine like terms: 8y + 8y = 16y
16 + -8x + x2 + (64 + 16y + y2) = 625

Reorder the terms:
16 + 64 + -8x + x2 + 16y + y2 = 625

Combine like terms: 16 + 64 = 80
80 + -8x + x2 + 16y + y2 = 625

Solving
80 + -8x + x2 + 16y + y2 = 625

Solving for variable 'x'.

Reorder the terms:
80 + -625 + -8x + x2 + 16y + y2 = 625 + -625

Combine like terms: 80 + -625 = -545
-545 + -8x + x2 + 16y + y2 = 625 + -625

Combine like terms: 625 + -625 = 0
-545 + -8x + x2 + 16y + y2 = 0

The solution to this equation could not be determined.

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