10x^2+x+48=0

Solution for 10x^2+x+48=0 equation:

Simplifying
10x2 + x + 48 = 0

Reorder the terms:
48 + x + 10x2 = 0

Solving
48 + x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
4.8 + 0.1x + x2 = 0

Move the constant term to the right:

Add '-4.8' to each side of the equation.
4.8 + 0.1x + -4.8 + x2 = 0 + -4.8

Reorder the terms:
4.8 + -4.8 + 0.1x + x2 = 0 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.1x + x2 = 0 + -4.8
0.1x + x2 = 0 + -4.8

Combine like terms: 0 + -4.8 = -4.8
0.1x + x2 = -4.8

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.
0.1x + 0.25 + x2 = -4.8 + 0.25

Reorder the terms:
0.25 + 0.1x + x2 = -4.8 + 0.25

Combine like terms: -4.8 + 0.25 = -4.55
0.25 + 0.1x + x2 = -4.55

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -4.55

Can't calculate square root of the right side.

The solution to this equation could not be determined.