X^2-18x+5y^2-30y=120

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Solution for X^2-18x+5y^2-30y=120 equation: 


Simplifying
X2 + -18x + 5y2 + -30y = 120

Reorder the terms:
X2 + -18x + -30y + 5y2 = 120

Solving
X2 + -18x + -30y + 5y2 = 120

Solving for variable 'X'.

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

Add '18x' to each side of the equation.
X2 + -18x + -30y + 18x + 5y2 = 120 + 18x

Reorder the terms:
X2 + -18x + 18x + -30y + 5y2 = 120 + 18x

Combine like terms: -18x + 18x = 0
X2 + 0 + -30y + 5y2 = 120 + 18x
X2 + -30y + 5y2 = 120 + 18x

Add '30y' to each side of the equation.
X2 + -30y + 30y + 5y2 = 120 + 18x + 30y

Combine like terms: -30y + 30y = 0
X2 + 0 + 5y2 = 120 + 18x + 30y
X2 + 5y2 = 120 + 18x + 30y

Add '-5y2' to each side of the equation.
X2 + 5y2 + -5y2 = 120 + 18x + 30y + -5y2

Combine like terms: 5y2 + -5y2 = 0
X2 + 0 = 120 + 18x + 30y + -5y2
X2 = 120 + 18x + 30y + -5y2

Simplifying
X2 = 120 + 18x + 30y + -5y2

Reorder the terms:
-120 + X2 + -18x + -30y + 5y2 = 120 + 18x + 30y + -5y2 + -120 + -18x + -30y + 5y2

Reorder the terms:
-120 + X2 + -18x + -30y + 5y2 = 120 + -120 + 18x + -18x + 30y + -30y + -5y2 + 5y2

Combine like terms: 120 + -120 = 0
-120 + X2 + -18x + -30y + 5y2 = 0 + 18x + -18x + 30y + -30y + -5y2 + 5y2
-120 + X2 + -18x + -30y + 5y2 = 18x + -18x + 30y + -30y + -5y2 + 5y2

Combine like terms: 18x + -18x = 0
-120 + X2 + -18x + -30y + 5y2 = 0 + 30y + -30y + -5y2 + 5y2
-120 + X2 + -18x + -30y + 5y2 = 30y + -30y + -5y2 + 5y2

Combine like terms: 30y + -30y = 0
-120 + X2 + -18x + -30y + 5y2 = 0 + -5y2 + 5y2
-120 + X2 + -18x + -30y + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
-120 + X2 + -18x + -30y + 5y2 = 0

The solution to this equation could not be determined.

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