5x^2+3y^2-3y-12=0

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Solution for 5x^2+3y^2-3y-12=0 equation:


Simplifying
5x2 + 3y2 + -3y + -12 = 0

Reorder the terms:
-12 + 5x2 + -3y + 3y2 = 0

Solving
-12 + 5x2 + -3y + 3y2 = 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 + 5x2 + -3y + 12 + 3y2 = 0 + 12

Reorder the terms:
-12 + 12 + 5x2 + -3y + 3y2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 5x2 + -3y + 3y2 = 0 + 12
5x2 + -3y + 3y2 = 0 + 12

Combine like terms: 0 + 12 = 12
5x2 + -3y + 3y2 = 12

Add '3y' to each side of the equation.
5x2 + -3y + 3y + 3y2 = 12 + 3y

Combine like terms: -3y + 3y = 0
5x2 + 0 + 3y2 = 12 + 3y
5x2 + 3y2 = 12 + 3y

Add '-3y2' to each side of the equation.
5x2 + 3y2 + -3y2 = 12 + 3y + -3y2

Combine like terms: 3y2 + -3y2 = 0
5x2 + 0 = 12 + 3y + -3y2
5x2 = 12 + 3y + -3y2

Divide each side by '5'.
x2 = 2.4 + 0.6y + -0.6y2

Simplifying
x2 = 2.4 + 0.6y + -0.6y2

Reorder the terms:
-2.4 + x2 + -0.6y + 0.6y2 = 2.4 + 0.6y + -0.6y2 + -2.4 + -0.6y + 0.6y2

Reorder the terms:
-2.4 + x2 + -0.6y + 0.6y2 = 2.4 + -2.4 + 0.6y + -0.6y + -0.6y2 + 0.6y2

Combine like terms: 2.4 + -2.4 = 0.0
-2.4 + x2 + -0.6y + 0.6y2 = 0.0 + 0.6y + -0.6y + -0.6y2 + 0.6y2
-2.4 + x2 + -0.6y + 0.6y2 = 0.6y + -0.6y + -0.6y2 + 0.6y2

Combine like terms: 0.6y + -0.6y = 0.0
-2.4 + x2 + -0.6y + 0.6y2 = 0.0 + -0.6y2 + 0.6y2
-2.4 + x2 + -0.6y + 0.6y2 = -0.6y2 + 0.6y2

Combine like terms: -0.6y2 + 0.6y2 = 0.0
-2.4 + x2 + -0.6y + 0.6y2 = 0.0

The solution to this equation could not be determined.

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