x^2+4.8x+6=0

Solution for x^2+4.8x+6=0 equation:

Simplifying
x2 + 4.8x + 6 = 0

Reorder the terms:
6 + 4.8x + x2 = 0

Solving
6 + 4.8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4.8x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 4.8x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4.8x + x2 = 0 + -6
4.8x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
4.8x + x2 = -6

The x term is 4.8x.  Take half its coefficient (2.4).
Square it (5.76) and add it to both sides.

Add '5.76' to each side of the equation.
4.8x + 5.76 + x2 = -6 + 5.76

Reorder the terms:
5.76 + 4.8x + x2 = -6 + 5.76

Combine like terms: -6 + 5.76 = -0.24
5.76 + 4.8x + x2 = -0.24

Factor a perfect square on the left side:
(x + 2.4)(x + 2.4) = -0.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.