x^2-4y+3y^2=17

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Solution for x^2-4y+3y^2=17 equation: 


Simplifying
x2 + -4y + 3y2 = 17

Solving
x2 + -4y + 3y2 = 17

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 = 17 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 + 3y2 = 17 + 4y
x2 + 3y2 = 17 + 4y

Add '-3y2' to each side of the equation.
x2 + 3y2 + -3y2 = 17 + 4y + -3y2

Combine like terms: 3y2 + -3y2 = 0
x2 + 0 = 17 + 4y + -3y2
x2 = 17 + 4y + -3y2

Simplifying
x2 = 17 + 4y + -3y2

Reorder the terms:
-17 + x2 + -4y + 3y2 = 17 + 4y + -3y2 + -17 + -4y + 3y2

Reorder the terms:
-17 + x2 + -4y + 3y2 = 17 + -17 + 4y + -4y + -3y2 + 3y2

Combine like terms: 17 + -17 = 0
-17 + x2 + -4y + 3y2 = 0 + 4y + -4y + -3y2 + 3y2
-17 + x2 + -4y + 3y2 = 4y + -4y + -3y2 + 3y2

Combine like terms: 4y + -4y = 0
-17 + x2 + -4y + 3y2 = 0 + -3y2 + 3y2
-17 + x2 + -4y + 3y2 = -3y2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
-17 + x2 + -4y + 3y2 = 0

The solution to this equation could not be determined.

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