3x^2+4y^2-12=0

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Solution for 3x^2+4y^2-12=0 equation:


Simplifying
3x2 + 4y2 + -12 = 0

Reorder the terms:
-12 + 3x2 + 4y2 = 0

Solving
-12 + 3x2 + 4y2 = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 3x2 + 12 + 4y2 = 0 + 12

Reorder the terms:
-12 + 12 + 3x2 + 4y2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 3x2 + 4y2 = 0 + 12
3x2 + 4y2 = 0 + 12

Combine like terms: 0 + 12 = 12
3x2 + 4y2 = 12

Add '-4y2' to each side of the equation.
3x2 + 4y2 + -4y2 = 12 + -4y2

Combine like terms: 4y2 + -4y2 = 0
3x2 + 0 = 12 + -4y2
3x2 = 12 + -4y2

Divide each side by '3'.
x2 = 4 + -1.333333333y2

Simplifying
x2 = 4 + -1.333333333y2

Reorder the terms:
-4 + x2 + 1.333333333y2 = 4 + -1.333333333y2 + -4 + 1.333333333y2

Reorder the terms:
-4 + x2 + 1.333333333y2 = 4 + -4 + -1.333333333y2 + 1.333333333y2

Combine like terms: 4 + -4 = 0
-4 + x2 + 1.333333333y2 = 0 + -1.333333333y2 + 1.333333333y2
-4 + x2 + 1.333333333y2 = -1.333333333y2 + 1.333333333y2

Combine like terms: -1.333333333y2 + 1.333333333y2 = 0.000000000
-4 + x2 + 1.333333333y2 = 0.000000000

The solution to this equation could not be determined.

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