4x^2-y^2+4y-5=0

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Solution for 4x^2-y^2+4y-5=0 equation: 


Simplifying
4x2 + -1y2 + 4y + -5 = 0

Reorder the terms:
-5 + 4x2 + 4y + -1y2 = 0

Solving
-5 + 4x2 + 4y + -1y2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 4x2 + 4y + 5 + -1y2 = 0 + 5

Reorder the terms:
-5 + 5 + 4x2 + 4y + -1y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4x2 + 4y + -1y2 = 0 + 5
4x2 + 4y + -1y2 = 0 + 5

Combine like terms: 0 + 5 = 5
4x2 + 4y + -1y2 = 5

Add '-4y' to each side of the equation.
4x2 + 4y + -4y + -1y2 = 5 + -4y

Combine like terms: 4y + -4y = 0
4x2 + 0 + -1y2 = 5 + -4y
4x2 + -1y2 = 5 + -4y

Add 'y2' to each side of the equation.
4x2 + -1y2 + y2 = 5 + -4y + y2

Combine like terms: -1y2 + y2 = 0
4x2 + 0 = 5 + -4y + y2
4x2 = 5 + -4y + y2

Divide each side by '4'.
x2 = 1.25 + -1y + 0.25y2

Simplifying
x2 = 1.25 + -1y + 0.25y2

Reorder the terms:
-1.25 + x2 + y + -0.25y2 = 1.25 + -1y + 0.25y2 + -1.25 + y + -0.25y2

Reorder the terms:
-1.25 + x2 + y + -0.25y2 = 1.25 + -1.25 + -1y + y + 0.25y2 + -0.25y2

Combine like terms: 1.25 + -1.25 = 0.00
-1.25 + x2 + y + -0.25y2 = 0.00 + -1y + y + 0.25y2 + -0.25y2
-1.25 + x2 + y + -0.25y2 = -1y + y + 0.25y2 + -0.25y2

Combine like terms: -1y + y = 0
-1.25 + x2 + y + -0.25y2 = 0 + 0.25y2 + -0.25y2
-1.25 + x2 + y + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
-1.25 + x2 + y + -0.25y2 = 0.00

The solution to this equation could not be determined.

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