X^2+y^2-x+2x+3x^2-4y^2=

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


Simplifying
X2 + y2 + -1x + 2x + 3x2 + -4y2 = 0

Reorder the terms:
X2 + -1x + 2x + 3x2 + y2 + -4y2 = 0

Combine like terms: -1x + 2x = 1x
X2 + 1x + 3x2 + y2 + -4y2 = 0

Combine like terms: y2 + -4y2 = -3y2
X2 + 1x + 3x2 + -3y2 = 0

Solving
X2 + 1x + 3x2 + -3y2 = 0

Solving for variable 'X'.

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

Add '-1x' to each side of the equation.
X2 + 1x + 3x2 + -1x + -3y2 = 0 + -1x

Reorder the terms:
X2 + 1x + -1x + 3x2 + -3y2 = 0 + -1x

Combine like terms: 1x + -1x = 0
X2 + 0 + 3x2 + -3y2 = 0 + -1x
X2 + 3x2 + -3y2 = 0 + -1x
Remove the zero:
X2 + 3x2 + -3y2 = -1x

Add '-3x2' to each side of the equation.
X2 + 3x2 + -3x2 + -3y2 = -1x + -3x2

Combine like terms: 3x2 + -3x2 = 0
X2 + 0 + -3y2 = -1x + -3x2
X2 + -3y2 = -1x + -3x2

Add '3y2' to each side of the equation.
X2 + -3y2 + 3y2 = -1x + -3x2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
X2 + 0 = -1x + -3x2 + 3y2
X2 = -1x + -3x2 + 3y2

Simplifying
X2 = -1x + -3x2 + 3y2

Reorder the terms:
X2 + x + 3x2 + -3y2 = -1x + x + -3x2 + 3x2 + 3y2 + -3y2

Combine like terms: -1x + x = 0
X2 + x + 3x2 + -3y2 = 0 + -3x2 + 3x2 + 3y2 + -3y2
X2 + x + 3x2 + -3y2 = -3x2 + 3x2 + 3y2 + -3y2

Combine like terms: -3x2 + 3x2 = 0
X2 + x + 3x2 + -3y2 = 0 + 3y2 + -3y2
X2 + x + 3x2 + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
X2 + x + 3x2 + -3y2 = 0

The solution to this equation could not be determined.

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