-5x^2+10x-6=0

Solution for -5x^2+10x-6=0 equation:

Simplifying
-5x2 + 10x + -6 = 0

Reorder the terms:
-6 + 10x + -5x2 = 0

Solving
-6 + 10x + -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'.
1.2 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -2x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -2x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -2x + x2 = 0 + -1.2
-2x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-2x + x2 = -1.2

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.2 + 1

Reorder the terms:
1 + -2x + x2 = -1.2 + 1

Combine like terms: -1.2 + 1 = -0.2
1 + -2x + x2 = -0.2

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.2

Can't calculate square root of the right side.

The solution to this equation could not be determined.