4x^2+9y^2-72y+108=0

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Solution for 4x^2+9y^2-72y+108=0 equation: 


Simplifying
4x2 + 9y2 + -72y + 108 = 0

Reorder the terms:
108 + 4x2 + -72y + 9y2 = 0

Solving
108 + 4x2 + -72y + 9y2 = 0

Solving for variable 'x'.

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

Add '-108' to each side of the equation.
108 + 4x2 + -72y + -108 + 9y2 = 0 + -108

Reorder the terms:
108 + -108 + 4x2 + -72y + 9y2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + 4x2 + -72y + 9y2 = 0 + -108
4x2 + -72y + 9y2 = 0 + -108

Combine like terms: 0 + -108 = -108
4x2 + -72y + 9y2 = -108

Add '72y' to each side of the equation.
4x2 + -72y + 72y + 9y2 = -108 + 72y

Combine like terms: -72y + 72y = 0
4x2 + 0 + 9y2 = -108 + 72y
4x2 + 9y2 = -108 + 72y

Add '-9y2' to each side of the equation.
4x2 + 9y2 + -9y2 = -108 + 72y + -9y2

Combine like terms: 9y2 + -9y2 = 0
4x2 + 0 = -108 + 72y + -9y2
4x2 = -108 + 72y + -9y2

Divide each side by '4'.
x2 = -27 + 18y + -2.25y2

Simplifying
x2 = -27 + 18y + -2.25y2

Reorder the terms:
27 + x2 + -18y + 2.25y2 = -27 + 18y + -2.25y2 + 27 + -18y + 2.25y2

Reorder the terms:
27 + x2 + -18y + 2.25y2 = -27 + 27 + 18y + -18y + -2.25y2 + 2.25y2

Combine like terms: -27 + 27 = 0
27 + x2 + -18y + 2.25y2 = 0 + 18y + -18y + -2.25y2 + 2.25y2
27 + x2 + -18y + 2.25y2 = 18y + -18y + -2.25y2 + 2.25y2

Combine like terms: 18y + -18y = 0
27 + x2 + -18y + 2.25y2 = 0 + -2.25y2 + 2.25y2
27 + x2 + -18y + 2.25y2 = -2.25y2 + 2.25y2

Combine like terms: -2.25y2 + 2.25y2 = 0.00
27 + x2 + -18y + 2.25y2 = 0.00

The solution to this equation could not be determined.

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