10x^2-9x+6=0

Solution for 10x^2-9x+6=0 equation:

Simplifying
10x2 + -9x + 6 = 0

Reorder the terms:
6 + -9x + 10x2 = 0

Solving
6 + -9x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
0.6 + -0.9x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.9x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.9x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.9x + x2 = 0 + -0.6
-0.9x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.9x + x2 = -0.6

The x term is -0.9x.  Take half its coefficient (-0.45).
Square it (0.2025) and add it to both sides.

Add '0.2025' to each side of the equation.
-0.9x + 0.2025 + x2 = -0.6 + 0.2025

Reorder the terms:
0.2025 + -0.9x + x2 = -0.6 + 0.2025

Combine like terms: -0.6 + 0.2025 = -0.3975
0.2025 + -0.9x + x2 = -0.3975

Factor a perfect square on the left side:
(x + -0.45)(x + -0.45) = -0.3975

Can't calculate square root of the right side.

The solution to this equation could not be determined.