(8y+2)+(2x^2)+(y^2-18)=360

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Solution for (8y+2)+(2x^2)+(y^2-18)=360 equation: 


Simplifying
(8y + 2) + (2x2) + (y2 + -18) = 360

Reorder the terms:
(2 + 8y) + (2x2) + (y2 + -18) = 360

Remove parenthesis around (2 + 8y)
2 + 8y + (2x2) + (y2 + -18) = 360

Reorder the terms:
2 + 8y + (2x2) + (-18 + y2) = 360

Remove parenthesis around (-18 + y2)
2 + 8y + (2x2) + -18 + y2 = 360

Reorder the terms:
2 + -18 + (2x2) + 8y + y2 = 360

Combine like terms: 2 + -18 = -16
-16 + (2x2) + 8y + y2 = 360

Solving
-16 + (2x2) + 8y + y2 = 360

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + (2x2) + 8y + 16 + y2 = 360 + 16

Reorder the terms:
-16 + 16 + (2x2) + 8y + y2 = 360 + 16

Combine like terms: -16 + 16 = 0
0 + (2x2) + 8y + y2 = 360 + 16
(2x2) + 8y + y2 = 360 + 16

Combine like terms: 360 + 16 = 376
(2x2) + 8y + y2 = 376

Add '-8y' to each side of the equation.
(2x2) + 8y + -8y + y2 = 376 + -8y

Combine like terms: 8y + -8y = 0
(2x2) + 0 + y2 = 376 + -8y
(2x2) + y2 = 376 + -8y

Add '-1y2' to each side of the equation.
(2x2) + y2 + -1y2 = 376 + -8y + -1y2

Combine like terms: y2 + -1y2 = 0
(2x2) + 0 = 376 + -8y + -1y2
(2x2) = 376 + -8y + -1y2

Divide each side by '2'.
x2 = 188 + -4y + -0.5y2

Simplifying
x2 = 188 + -4y + -0.5y2

Reorder the terms:
-188 + x2 + 4y + 0.5y2 = 188 + -4y + -0.5y2 + -188 + 4y + 0.5y2

Reorder the terms:
-188 + x2 + 4y + 0.5y2 = 188 + -188 + -4y + 4y + -0.5y2 + 0.5y2

Combine like terms: 188 + -188 = 0
-188 + x2 + 4y + 0.5y2 = 0 + -4y + 4y + -0.5y2 + 0.5y2
-188 + x2 + 4y + 0.5y2 = -4y + 4y + -0.5y2 + 0.5y2

Combine like terms: -4y + 4y = 0
-188 + x2 + 4y + 0.5y2 = 0 + -0.5y2 + 0.5y2
-188 + x2 + 4y + 0.5y2 = -0.5y2 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
-188 + x2 + 4y + 0.5y2 = 0.0

The solution to this equation could not be determined.

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