15x^2-13x+3=0

Solution for 15x^2-13x+3=0 equation:

Simplifying
15x2 + -13x + 3 = 0

Reorder the terms:
3 + -13x + 15x2 = 0

Solving
3 + -13x + 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'.
0.2 + -0.8666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.8666666667x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.8666666667x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.8666666667x + x2 = 0 + -0.2
-0.8666666667x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.8666666667x + x2 = -0.2

The x term is -0.8666666667x.  Take half its coefficient (-0.4333333334).
Square it (0.1877777778) and add it to both sides.

Add '0.1877777778' to each side of the equation.
-0.8666666667x + 0.1877777778 + x2 = -0.2 + 0.1877777778

Reorder the terms:
0.1877777778 + -0.8666666667x + x2 = -0.2 + 0.1877777778

Combine like terms: -0.2 + 0.1877777778 = -0.0122222222
0.1877777778 + -0.8666666667x + x2 = -0.0122222222

Factor a perfect square on the left side:
(x + -0.4333333334)(x + -0.4333333334) = -0.0122222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.