-20x^2+9x-6=0

Solution for -20x^2+9x-6=0 equation:

Simplifying
-20x2 + 9x + -6 = 0

Reorder the terms:
-6 + 9x + -20x2 = 0

Solving
-6 + 9x + -20x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
0.3 + -0.45x + x2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -0.45x + -0.3 + x2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + -0.45x + x2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.45x + x2 = 0 + -0.3
-0.45x + x2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
-0.45x + x2 = -0.3

The x term is -0.45x.  Take half its coefficient (-0.225).
Square it (0.050625) and add it to both sides.

Add '0.050625' to each side of the equation.
-0.45x + 0.050625 + x2 = -0.3 + 0.050625

Reorder the terms:
0.050625 + -0.45x + x2 = -0.3 + 0.050625

Combine like terms: -0.3 + 0.050625 = -0.249375
0.050625 + -0.45x + x2 = -0.249375

Factor a perfect square on the left side:
(x + -0.225)(x + -0.225) = -0.249375

Can't calculate square root of the right side.

The solution to this equation could not be determined.