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

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


Simplifying
4x2 + y2 + 2y = 3

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

Solving
4x2 + 2y + y2 = 3

Solving for variable 'x'.

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

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

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

Add '-1y2' to each side of the equation.
4x2 + y2 + -1y2 = 3 + -2y + -1y2

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

Divide each side by '4'.
x2 = 0.75 + -0.5y + -0.25y2

Simplifying
x2 = 0.75 + -0.5y + -0.25y2

Reorder the terms:
-0.75 + x2 + 0.5y + 0.25y2 = 0.75 + -0.5y + -0.25y2 + -0.75 + 0.5y + 0.25y2

Reorder the terms:
-0.75 + x2 + 0.5y + 0.25y2 = 0.75 + -0.75 + -0.5y + 0.5y + -0.25y2 + 0.25y2

Combine like terms: 0.75 + -0.75 = 0.00
-0.75 + x2 + 0.5y + 0.25y2 = 0.00 + -0.5y + 0.5y + -0.25y2 + 0.25y2
-0.75 + x2 + 0.5y + 0.25y2 = -0.5y + 0.5y + -0.25y2 + 0.25y2

Combine like terms: -0.5y + 0.5y = 0.0
-0.75 + x2 + 0.5y + 0.25y2 = 0.0 + -0.25y2 + 0.25y2
-0.75 + x2 + 0.5y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
-0.75 + x2 + 0.5y + 0.25y2 = 0.00

The solution to this equation could not be determined.

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