2x^2+6y^2+3=4x^2-8y+4

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Solution for 2x^2+6y^2+3=4x^2-8y+4 equation:


Simplifying
2x2 + 6y2 + 3 = 4x2 + -8y + 4

Reorder the terms:
3 + 2x2 + 6y2 = 4x2 + -8y + 4

Reorder the terms:
3 + 2x2 + 6y2 = 4 + 4x2 + -8y

Solving
3 + 2x2 + 6y2 = 4 + 4x2 + -8y

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
3 + 2x2 + -4x2 + 6y2 = 4 + 4x2 + -4x2 + -8y

Combine like terms: 2x2 + -4x2 = -2x2
3 + -2x2 + 6y2 = 4 + 4x2 + -4x2 + -8y

Combine like terms: 4x2 + -4x2 = 0
3 + -2x2 + 6y2 = 4 + 0 + -8y
3 + -2x2 + 6y2 = 4 + -8y

Add '-3' to each side of the equation.
3 + -2x2 + -3 + 6y2 = 4 + -3 + -8y

Reorder the terms:
3 + -3 + -2x2 + 6y2 = 4 + -3 + -8y

Combine like terms: 3 + -3 = 0
0 + -2x2 + 6y2 = 4 + -3 + -8y
-2x2 + 6y2 = 4 + -3 + -8y

Combine like terms: 4 + -3 = 1
-2x2 + 6y2 = 1 + -8y

Add '-6y2' to each side of the equation.
-2x2 + 6y2 + -6y2 = 1 + -8y + -6y2

Combine like terms: 6y2 + -6y2 = 0
-2x2 + 0 = 1 + -8y + -6y2
-2x2 = 1 + -8y + -6y2

Divide each side by '-2'.
x2 = -0.5 + 4y + 3y2

Simplifying
x2 = -0.5 + 4y + 3y2

Reorder the terms:
0.5 + x2 + -4y + -3y2 = -0.5 + 4y + 3y2 + 0.5 + -4y + -3y2

Reorder the terms:
0.5 + x2 + -4y + -3y2 = -0.5 + 0.5 + 4y + -4y + 3y2 + -3y2

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + x2 + -4y + -3y2 = 0.0 + 4y + -4y + 3y2 + -3y2
0.5 + x2 + -4y + -3y2 = 4y + -4y + 3y2 + -3y2

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

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

The solution to this equation could not be determined.

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