12x^2+5y^2-120=0

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Solution for 12x^2+5y^2-120=0 equation:


Simplifying
12x2 + 5y2 + -120 = 0

Reorder the terms:
-120 + 12x2 + 5y2 = 0

Solving
-120 + 12x2 + 5y2 = 0

Solving for variable 'x'.

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

Add '120' to each side of the equation.
-120 + 12x2 + 120 + 5y2 = 0 + 120

Reorder the terms:
-120 + 120 + 12x2 + 5y2 = 0 + 120

Combine like terms: -120 + 120 = 0
0 + 12x2 + 5y2 = 0 + 120
12x2 + 5y2 = 0 + 120

Combine like terms: 0 + 120 = 120
12x2 + 5y2 = 120

Add '-5y2' to each side of the equation.
12x2 + 5y2 + -5y2 = 120 + -5y2

Combine like terms: 5y2 + -5y2 = 0
12x2 + 0 = 120 + -5y2
12x2 = 120 + -5y2

Divide each side by '12'.
x2 = 10 + -0.4166666667y2

Simplifying
x2 = 10 + -0.4166666667y2

Reorder the terms:
-10 + x2 + 0.4166666667y2 = 10 + -0.4166666667y2 + -10 + 0.4166666667y2

Reorder the terms:
-10 + x2 + 0.4166666667y2 = 10 + -10 + -0.4166666667y2 + 0.4166666667y2

Combine like terms: 10 + -10 = 0
-10 + x2 + 0.4166666667y2 = 0 + -0.4166666667y2 + 0.4166666667y2
-10 + x2 + 0.4166666667y2 = -0.4166666667y2 + 0.4166666667y2

Combine like terms: -0.4166666667y2 + 0.4166666667y2 = 0.0000000000
-10 + x2 + 0.4166666667y2 = 0.0000000000

The solution to this equation could not be determined.

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