4x^2-2y+6=0

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

Simplifying
4x2 + -2y + 6 = 0

Reorder the terms:
6 + 4x2 + -2y = 0

Solving
6 + 4x2 + -2y = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 4x2 + -6 + -2y = 0 + -6

Reorder the terms:
6 + -6 + 4x2 + -2y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4x2 + -2y = 0 + -6
4x2 + -2y = 0 + -6

Combine like terms: 0 + -6 = -6
4x2 + -2y = -6

Add '2y' to each side of the equation.
4x2 + -2y + 2y = -6 + 2y

Combine like terms: -2y + 2y = 0
4x2 + 0 = -6 + 2y
4x2 = -6 + 2y

Divide each side by '4'.
x2 = -1.5 + 0.5y

Simplifying
x2 = -1.5 + 0.5y

Reorder the terms:
1.5 + x2 + -0.5y = -1.5 + 0.5y + 1.5 + -0.5y

Reorder the terms:
1.5 + x2 + -0.5y = -1.5 + 1.5 + 0.5y + -0.5y

Combine like terms: -1.5 + 1.5 = 0.0
1.5 + x2 + -0.5y = 0.0 + 0.5y + -0.5y
1.5 + x2 + -0.5y = 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
1.5 + x2 + -0.5y = 0.0

The solution to this equation could not be determined.