4x^2+9y^2+36y-144=0

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Solution for 4x^2+9y^2+36y-144=0 equation: 


Simplifying
4x2 + 9y2 + 36y + -144 = 0

Reorder the terms:
-144 + 4x2 + 36y + 9y2 = 0

Solving
-144 + 4x2 + 36y + 9y2 = 0

Solving for variable 'x'.

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

Add '144' to each side of the equation.
-144 + 4x2 + 36y + 144 + 9y2 = 0 + 144

Reorder the terms:
-144 + 144 + 4x2 + 36y + 9y2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 4x2 + 36y + 9y2 = 0 + 144
4x2 + 36y + 9y2 = 0 + 144

Combine like terms: 0 + 144 = 144
4x2 + 36y + 9y2 = 144

Add '-36y' to each side of the equation.
4x2 + 36y + -36y + 9y2 = 144 + -36y

Combine like terms: 36y + -36y = 0
4x2 + 0 + 9y2 = 144 + -36y
4x2 + 9y2 = 144 + -36y

Add '-9y2' to each side of the equation.
4x2 + 9y2 + -9y2 = 144 + -36y + -9y2

Combine like terms: 9y2 + -9y2 = 0
4x2 + 0 = 144 + -36y + -9y2
4x2 = 144 + -36y + -9y2

Divide each side by '4'.
x2 = 36 + -9y + -2.25y2

Simplifying
x2 = 36 + -9y + -2.25y2

Reorder the terms:
-36 + x2 + 9y + 2.25y2 = 36 + -9y + -2.25y2 + -36 + 9y + 2.25y2

Reorder the terms:
-36 + x2 + 9y + 2.25y2 = 36 + -36 + -9y + 9y + -2.25y2 + 2.25y2

Combine like terms: 36 + -36 = 0
-36 + x2 + 9y + 2.25y2 = 0 + -9y + 9y + -2.25y2 + 2.25y2
-36 + x2 + 9y + 2.25y2 = -9y + 9y + -2.25y2 + 2.25y2

Combine like terms: -9y + 9y = 0
-36 + x2 + 9y + 2.25y2 = 0 + -2.25y2 + 2.25y2
-36 + x2 + 9y + 2.25y2 = -2.25y2 + 2.25y2

Combine like terms: -2.25y2 + 2.25y2 = 0.00
-36 + x2 + 9y + 2.25y2 = 0.00

The solution to this equation could not be determined.

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