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

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


Simplifying
4x2 + 3y2 + -4y = 4

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

Solving
4x2 + -4y + 3y2 = 4

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.
4x2 + -4y + 4y + 3y2 = 4 + 4y

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

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

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

Divide each side by '4'.
x2 = 1 + y + -0.75y2

Simplifying
x2 = 1 + y + -0.75y2

Reorder the terms:
-1 + x2 + -1y + 0.75y2 = 1 + y + -0.75y2 + -1 + -1y + 0.75y2

Reorder the terms:
-1 + x2 + -1y + 0.75y2 = 1 + -1 + y + -1y + -0.75y2 + 0.75y2

Combine like terms: 1 + -1 = 0
-1 + x2 + -1y + 0.75y2 = 0 + y + -1y + -0.75y2 + 0.75y2
-1 + x2 + -1y + 0.75y2 = y + -1y + -0.75y2 + 0.75y2

Combine like terms: y + -1y = 0
-1 + x2 + -1y + 0.75y2 = 0 + -0.75y2 + 0.75y2
-1 + x2 + -1y + 0.75y2 = -0.75y2 + 0.75y2

Combine like terms: -0.75y2 + 0.75y2 = 0.00
-1 + x2 + -1y + 0.75y2 = 0.00

The solution to this equation could not be determined.

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