-2X+2X^2+31=0

Solution for -2X+2X^2+31=0 equation:

Simplifying
-2X + 2X2 + 31 = 0

Reorder the terms:
31 + -2X + 2X2 = 0

Solving
31 + -2X + 2X2 = 0

Solving for variable 'X'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
15.5 + -1X + X2 = 0

Move the constant term to the right:

Add '-15.5' to each side of the equation.
15.5 + -1X + -15.5 + X2 = 0 + -15.5

Reorder the terms:
15.5 + -15.5 + -1X + X2 = 0 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + -1X + X2 = 0 + -15.5
-1X + X2 = 0 + -15.5

Combine like terms: 0 + -15.5 = -15.5
-1X + X2 = -15.5

The X term is -1X.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1X + 0.25 + X2 = -15.5 + 0.25

Reorder the terms:
0.25 + -1X + X2 = -15.5 + 0.25

Combine like terms: -15.5 + 0.25 = -15.25
0.25 + -1X + X2 = -15.25

Factor a perfect square on the left side:
(X + -0.5)(X + -0.5) = -15.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.