6.8=-2x^2+6x+1

Solution for 6.8=-2x^2+6x+1 equation:

Simplifying
6.8 = -2x2 + 6x + 1

Reorder the terms:
6.8 = 1 + 6x + -2x2

Solving
6.8 = 1 + 6x + -2x2

Solving for variable 'x'.

Combine like terms: 6.8 + -1 = 5.8
5.8 + -6x + 2x2 = 1 + 6x + -2x2 + -1 + -6x + 2x2

Reorder the terms:
5.8 + -6x + 2x2 = 1 + -1 + 6x + -6x + -2x2 + 2x2

Combine like terms: 1 + -1 = 0
5.8 + -6x + 2x2 = 0 + 6x + -6x + -2x2 + 2x2
5.8 + -6x + 2x2 = 6x + -6x + -2x2 + 2x2

Combine like terms: 6x + -6x = 0
5.8 + -6x + 2x2 = 0 + -2x2 + 2x2
5.8 + -6x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
5.8 + -6x + 2x2 = 0

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

Divide each side by '2'.
2.9 + -3x + x2 = 0

Move the constant term to the right:

Add '-2.9' to each side of the equation.
2.9 + -3x + -2.9 + x2 = 0 + -2.9

Reorder the terms:
2.9 + -2.9 + -3x + x2 = 0 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0
0.0 + -3x + x2 = 0 + -2.9
-3x + x2 = 0 + -2.9

Combine like terms: 0 + -2.9 = -2.9
-3x + x2 = -2.9

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -2.9 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -2.9 + 2.25

Combine like terms: -2.9 + 2.25 = -0.65
2.25 + -3x + x2 = -0.65

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.65

Can't calculate square root of the right side.

The solution to this equation could not be determined.