Y^2+2y+6x^2-24x=5

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Solution for Y^2+2y+6x^2-24x=5 equation: 


Simplifying
Y2 + 2y + 6x2 + -24x = 5

Reorder the terms:
Y2 + -24x + 6x2 + 2y = 5

Solving
Y2 + -24x + 6x2 + 2y = 5

Solving for variable 'Y'.

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

Add '24x' to each side of the equation.
Y2 + -24x + 6x2 + 24x + 2y = 5 + 24x

Reorder the terms:
Y2 + -24x + 24x + 6x2 + 2y = 5 + 24x

Combine like terms: -24x + 24x = 0
Y2 + 0 + 6x2 + 2y = 5 + 24x
Y2 + 6x2 + 2y = 5 + 24x

Add '-6x2' to each side of the equation.
Y2 + 6x2 + -6x2 + 2y = 5 + 24x + -6x2

Combine like terms: 6x2 + -6x2 = 0
Y2 + 0 + 2y = 5 + 24x + -6x2
Y2 + 2y = 5 + 24x + -6x2

Add '-2y' to each side of the equation.
Y2 + 2y + -2y = 5 + 24x + -6x2 + -2y

Combine like terms: 2y + -2y = 0
Y2 + 0 = 5 + 24x + -6x2 + -2y
Y2 = 5 + 24x + -6x2 + -2y

Simplifying
Y2 = 5 + 24x + -6x2 + -2y

Reorder the terms:
-5 + Y2 + -24x + 6x2 + 2y = 5 + 24x + -6x2 + -2y + -5 + -24x + 6x2 + 2y

Reorder the terms:
-5 + Y2 + -24x + 6x2 + 2y = 5 + -5 + 24x + -24x + -6x2 + 6x2 + -2y + 2y

Combine like terms: 5 + -5 = 0
-5 + Y2 + -24x + 6x2 + 2y = 0 + 24x + -24x + -6x2 + 6x2 + -2y + 2y
-5 + Y2 + -24x + 6x2 + 2y = 24x + -24x + -6x2 + 6x2 + -2y + 2y

Combine like terms: 24x + -24x = 0
-5 + Y2 + -24x + 6x2 + 2y = 0 + -6x2 + 6x2 + -2y + 2y
-5 + Y2 + -24x + 6x2 + 2y = -6x2 + 6x2 + -2y + 2y

Combine like terms: -6x2 + 6x2 = 0
-5 + Y2 + -24x + 6x2 + 2y = 0 + -2y + 2y
-5 + Y2 + -24x + 6x2 + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-5 + Y2 + -24x + 6x2 + 2y = 0

The solution to this equation could not be determined.

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