5x^2+x+3=1

Solution for 5x^2+x+3=1 equation:

Simplifying
5x2 + x + 3 = 1

Reorder the terms:
3 + x + 5x2 = 1

Solving
3 + x + 5x2 = 1

Solving for variable 'x'.

Reorder the terms:
3 + -1 + x + 5x2 = 1 + -1

Combine like terms: 3 + -1 = 2
2 + x + 5x2 = 1 + -1

Combine like terms: 1 + -1 = 0
2 + x + 5x2 = 0

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

Divide each side by '5'.
0.4 + 0.2x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.2x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.2x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.2x + x2 = 0 + -0.4
0.2x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.2x + x2 = -0.4

The x term is x.  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.
0.2x + 0.25 + x2 = -0.4 + 0.25

Reorder the terms:
0.25 + 0.2x + x2 = -0.4 + 0.25

Combine like terms: -0.4 + 0.25 = -0.15
0.25 + 0.2x + x2 = -0.15

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.