x^2+4y-3y^2=1

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Solution for x^2+4y-3y^2=1 equation:


Simplifying
x2 + 4y + -3y2 = 1

Solving
x2 + 4y + -3y2 = 1

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
x2 + 4y + -4y + -3y2 = 1 + -4y

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

Add '3y2' to each side of the equation.
x2 + -3y2 + 3y2 = 1 + -4y + 3y2

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

Simplifying
x2 = 1 + -4y + 3y2

Reorder the terms:
-1 + x2 + 4y + -3y2 = 1 + -4y + 3y2 + -1 + 4y + -3y2

Reorder the terms:
-1 + x2 + 4y + -3y2 = 1 + -1 + -4y + 4y + 3y2 + -3y2

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

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

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

The solution to this equation could not be determined.

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