4x^2-y^2+1=0

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Solution for 4x^2-y^2+1=0 equation:


Simplifying
4x2 + -1y2 + 1 = 0

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

Solving
1 + 4x2 + -1y2 = 0

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x2 = -0.25 + 0.25y2

Reorder the terms:
0.25 + x2 + -0.25y2 = -0.25 + 0.25y2 + 0.25 + -0.25y2

Reorder the terms:
0.25 + x2 + -0.25y2 = -0.25 + 0.25 + 0.25y2 + -0.25y2

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

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

The solution to this equation could not be determined.

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