4x^2+y^2-6y+5=0

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Solution for 4x^2+y^2-6y+5=0 equation: 


Simplifying
4x2 + y2 + -6y + 5 = 0

Reorder the terms:
5 + 4x2 + -6y + y2 = 0

Solving
5 + 4x2 + -6y + y2 = 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 + -6y + -5 + y2 = 0 + -5

Reorder the terms:
5 + -5 + 4x2 + -6y + y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x2 + -6y + y2 = 0 + -5
4x2 + -6y + y2 = 0 + -5

Combine like terms: 0 + -5 = -5
4x2 + -6y + y2 = -5

Add '6y' to each side of the equation.
4x2 + -6y + 6y + y2 = -5 + 6y

Combine like terms: -6y + 6y = 0
4x2 + 0 + y2 = -5 + 6y
4x2 + y2 = -5 + 6y

Add '-1y2' to each side of the equation.
4x2 + y2 + -1y2 = -5 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
4x2 + 0 = -5 + 6y + -1y2
4x2 = -5 + 6y + -1y2

Divide each side by '4'.
x2 = -1.25 + 1.5y + -0.25y2

Simplifying
x2 = -1.25 + 1.5y + -0.25y2

Reorder the terms:
1.25 + x2 + -1.5y + 0.25y2 = -1.25 + 1.5y + -0.25y2 + 1.25 + -1.5y + 0.25y2

Reorder the terms:
1.25 + x2 + -1.5y + 0.25y2 = -1.25 + 1.25 + 1.5y + -1.5y + -0.25y2 + 0.25y2

Combine like terms: -1.25 + 1.25 = 0.00
1.25 + x2 + -1.5y + 0.25y2 = 0.00 + 1.5y + -1.5y + -0.25y2 + 0.25y2
1.25 + x2 + -1.5y + 0.25y2 = 1.5y + -1.5y + -0.25y2 + 0.25y2

Combine like terms: 1.5y + -1.5y = 0.0
1.25 + x2 + -1.5y + 0.25y2 = 0.0 + -0.25y2 + 0.25y2
1.25 + x2 + -1.5y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
1.25 + x2 + -1.5y + 0.25y2 = 0.00

The solution to this equation could not be determined.

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