2x^2-5x-2+4x^2-6x+8=

Solution for 2x^2-5x-2+4x^2-6x+8= equation:

Simplifying
2x2 + -5x + -2 + 4x2 + -6x + 8 = 0

Reorder the terms:
-2 + 8 + -5x + -6x + 2x2 + 4x2 = 0

Combine like terms: -2 + 8 = 6
6 + -5x + -6x + 2x2 + 4x2 = 0

Combine like terms: -5x + -6x = -11x
6 + -11x + 2x2 + 4x2 = 0

Combine like terms: 2x2 + 4x2 = 6x2
6 + -11x + 6x2 = 0

Solving
6 + -11x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1 + -1.833333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.833333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.833333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.833333333x + x2 = 0 + -1
-1.833333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.833333333x + x2 = -1

The x term is -1.833333333x.  Take half its coefficient (-0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
-1.833333333x + 0.8402777775 + x2 = -1 + 0.8402777775

Reorder the terms:
0.8402777775 + -1.833333333x + x2 = -1 + 0.8402777775

Combine like terms: -1 + 0.8402777775 = -0.1597222225
0.8402777775 + -1.833333333x + x2 = -0.1597222225

Factor a perfect square on the left side:
(x + -0.9166666665)(x + -0.9166666665) = -0.1597222225

Can't calculate square root of the right side.

The solution to this equation could not be determined.