15x^2-8x+6=0

Solution for 15x^2-8x+6=0 equation:

Simplifying
15x2 + -8x + 6 = 0

Reorder the terms:
6 + -8x + 15x2 = 0

Solving
6 + -8x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
0.4 + -0.5333333333x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.5333333333x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.5333333333x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.5333333333x + x2 = 0 + -0.4
-0.5333333333x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.5333333333x + x2 = -0.4

The x term is -0.5333333333x.  Take half its coefficient (-0.2666666667).
Square it (0.07111111113) and add it to both sides.

Add '0.07111111113' to each side of the equation.
-0.5333333333x + 0.07111111113 + x2 = -0.4 + 0.07111111113

Reorder the terms:
0.07111111113 + -0.5333333333x + x2 = -0.4 + 0.07111111113

Combine like terms: -0.4 + 0.07111111113 = -0.32888888887
0.07111111113 + -0.5333333333x + x2 = -0.32888888887

Factor a perfect square on the left side:
(x + -0.2666666667)(x + -0.2666666667) = -0.32888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.