2x^2-3y+1=0

Solution for 2x^2-3y+1=0 equation:

Simplifying
2x2 + -3y + 1 = 0

Reorder the terms:
1 + 2x2 + -3y = 0

Solving
1 + 2x2 + -3y = 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 + 2x2 + -1 + -3y = 0 + -1

Reorder the terms:
1 + -1 + 2x2 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 + -3y = 0 + -1
2x2 + -3y = 0 + -1

Combine like terms: 0 + -1 = -1
2x2 + -3y = -1

Add '3y' to each side of the equation.
2x2 + -3y + 3y = -1 + 3y

Combine like terms: -3y + 3y = 0
2x2 + 0 = -1 + 3y
2x2 = -1 + 3y

Divide each side by '2'.
x2 = -0.5 + 1.5y

Simplifying
x2 = -0.5 + 1.5y

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

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

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

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

The solution to this equation could not be determined.