X^2+6x+4y^2+24y=19

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Solution for X^2+6x+4y^2+24y=19 equation: 


Simplifying
X2 + 6x + 4y2 + 24y = 19

Reorder the terms:
X2 + 6x + 24y + 4y2 = 19

Solving
X2 + 6x + 24y + 4y2 = 19

Solving for variable 'X'.

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

Add '-6x' to each side of the equation.
X2 + 6x + 24y + -6x + 4y2 = 19 + -6x

Reorder the terms:
X2 + 6x + -6x + 24y + 4y2 = 19 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 + 24y + 4y2 = 19 + -6x
X2 + 24y + 4y2 = 19 + -6x

Add '-24y' to each side of the equation.
X2 + 24y + -24y + 4y2 = 19 + -6x + -24y

Combine like terms: 24y + -24y = 0
X2 + 0 + 4y2 = 19 + -6x + -24y
X2 + 4y2 = 19 + -6x + -24y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = 19 + -6x + -24y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = 19 + -6x + -24y + -4y2
X2 = 19 + -6x + -24y + -4y2

Simplifying
X2 = 19 + -6x + -24y + -4y2

Reorder the terms:
-19 + X2 + 6x + 24y + 4y2 = 19 + -6x + -24y + -4y2 + -19 + 6x + 24y + 4y2

Reorder the terms:
-19 + X2 + 6x + 24y + 4y2 = 19 + -19 + -6x + 6x + -24y + 24y + -4y2 + 4y2

Combine like terms: 19 + -19 = 0
-19 + X2 + 6x + 24y + 4y2 = 0 + -6x + 6x + -24y + 24y + -4y2 + 4y2
-19 + X2 + 6x + 24y + 4y2 = -6x + 6x + -24y + 24y + -4y2 + 4y2

Combine like terms: -6x + 6x = 0
-19 + X2 + 6x + 24y + 4y2 = 0 + -24y + 24y + -4y2 + 4y2
-19 + X2 + 6x + 24y + 4y2 = -24y + 24y + -4y2 + 4y2

Combine like terms: -24y + 24y = 0
-19 + X2 + 6x + 24y + 4y2 = 0 + -4y2 + 4y2
-19 + X2 + 6x + 24y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-19 + X2 + 6x + 24y + 4y2 = 0

The solution to this equation could not be determined.

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