(X^2)+2x+(4y^2)=4+y

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Solution for (X^2)+2x+(4y^2)=4+y equation:


Simplifying
(X2) + 2x + (4y2) = 4 + y
X2 + 2x + (4y2) = 4 + y

Solving
X2 + 2x + (4y2) = 4 + y

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
X2 + 2x + -2x + (4y2) = 4 + -2x + y

Combine like terms: 2x + -2x = 0
X2 + 0 + (4y2) = 4 + -2x + y
X2 + (4y2) = 4 + -2x + y

Add '(-4y2)' to each side of the equation.
X2 + (4y2) + (-4y2) = 4 + -2x + y + (-4y2)

Combine like terms: (4y2) + (-4y2) = 0
X2 + 0 = 4 + -2x + y + (-4y2)
X2 = 4 + -2x + y + (-4y2)

Simplifying
X2 = 4 + -2x + y + (-4y2)

Reorder the terms:
-4 + X2 + 2x + -1y + (4y2) = 4 + -2x + y + (-4y2) + -4 + 2x + -1y + (4y2)

Reorder the terms:
-4 + X2 + 2x + -1y + (4y2) = 4 + -4 + -2x + 2x + y + -1y + (-4y2) + (4y2)

Combine like terms: 4 + -4 = 0
-4 + X2 + 2x + -1y + (4y2) = 0 + -2x + 2x + y + -1y + (-4y2) + (4y2)
-4 + X2 + 2x + -1y + (4y2) = -2x + 2x + y + -1y + (-4y2) + (4y2)

Combine like terms: -2x + 2x = 0
-4 + X2 + 2x + -1y + (4y2) = 0 + y + -1y + (-4y2) + (4y2)
-4 + X2 + 2x + -1y + (4y2) = y + -1y + (-4y2) + (4y2)

Combine like terms: y + -1y = 0
-4 + X2 + 2x + -1y + (4y2) = 0 + (-4y2) + (4y2)
-4 + X2 + 2x + -1y + (4y2) = (-4y2) + (4y2)

Combine like terms: (-4y2) + (4y2) = 0
-4 + X2 + 2x + -1y + (4y2) = 0

The solution to this equation could not be determined.

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