6x^2+9y^2-3=0

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Solution for 6x^2+9y^2-3=0 equation:


Simplifying
6x2 + 9y2 + -3 = 0

Reorder the terms:
-3 + 6x2 + 9y2 = 0

Solving
-3 + 6x2 + 9y2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 6x2 + 3 + 9y2 = 0 + 3

Reorder the terms:
-3 + 3 + 6x2 + 9y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6x2 + 9y2 = 0 + 3
6x2 + 9y2 = 0 + 3

Combine like terms: 0 + 3 = 3
6x2 + 9y2 = 3

Add '-9y2' to each side of the equation.
6x2 + 9y2 + -9y2 = 3 + -9y2

Combine like terms: 9y2 + -9y2 = 0
6x2 + 0 = 3 + -9y2
6x2 = 3 + -9y2

Divide each side by '6'.
x2 = 0.5 + -1.5y2

Simplifying
x2 = 0.5 + -1.5y2

Reorder the terms:
-0.5 + x2 + 1.5y2 = 0.5 + -1.5y2 + -0.5 + 1.5y2

Reorder the terms:
-0.5 + x2 + 1.5y2 = 0.5 + -0.5 + -1.5y2 + 1.5y2

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + x2 + 1.5y2 = 0.0 + -1.5y2 + 1.5y2
-0.5 + x2 + 1.5y2 = -1.5y2 + 1.5y2

Combine like terms: -1.5y2 + 1.5y2 = 0.0
-0.5 + x2 + 1.5y2 = 0.0

The solution to this equation could not be determined.

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