x^2-6x^2+16x-96=0

Solution for x^2-6x^2+16x-96=0 equation:

Simplifying
x2 + -6x2 + 16x + -96 = 0

Reorder the terms:
-96 + 16x + x2 + -6x2 = 0

Combine like terms: x2 + -6x2 = -5x2
-96 + 16x + -5x2 = 0

Solving
-96 + 16x + -5x2 = 0

Solving for variable 'x'.

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

Divide each side by '-5'.
19.2 + -3.2x + x2 = 0

Move the constant term to the right:

Add '-19.2' to each side of the equation.
19.2 + -3.2x + -19.2 + x2 = 0 + -19.2

Reorder the terms:
19.2 + -19.2 + -3.2x + x2 = 0 + -19.2

Combine like terms: 19.2 + -19.2 = 0.0
0.0 + -3.2x + x2 = 0 + -19.2
-3.2x + x2 = 0 + -19.2

Combine like terms: 0 + -19.2 = -19.2
-3.2x + x2 = -19.2

The x term is -3.2x.  Take half its coefficient (-1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
-3.2x + 2.56 + x2 = -19.2 + 2.56

Reorder the terms:
2.56 + -3.2x + x2 = -19.2 + 2.56

Combine like terms: -19.2 + 2.56 = -16.64
2.56 + -3.2x + x2 = -16.64

Factor a perfect square on the left side:
(x + -1.6)(x + -1.6) = -16.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.