5x^2=10x-6

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

Simplifying
5x2 = 10x + -6

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

Solving
5x2 = -6 + 10x

Solving for variable 'x'.

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

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

Combine like terms: -6 + 6 = 0
6 + -10x + 5x2 = 0 + 10x + -10x
6 + -10x + 5x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -10x + 5x2 = 0

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.