20x^2-13x+18=0

Solution for 20x^2-13x+18=0 equation:

Simplifying
20x2 + -13x + 18 = 0

Reorder the terms:
18 + -13x + 20x2 = 0

Solving
18 + -13x + 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'.
0.9 + -0.65x + x2 = 0

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + -0.65x + -0.9 + x2 = 0 + -0.9

Reorder the terms:
0.9 + -0.9 + -0.65x + x2 = 0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.65x + x2 = 0 + -0.9
-0.65x + x2 = 0 + -0.9

Combine like terms: 0 + -0.9 = -0.9
-0.65x + x2 = -0.9

The x term is -0.65x.  Take half its coefficient (-0.325).
Square it (0.105625) and add it to both sides.

Add '0.105625' to each side of the equation.
-0.65x + 0.105625 + x2 = -0.9 + 0.105625

Reorder the terms:
0.105625 + -0.65x + x2 = -0.9 + 0.105625

Combine like terms: -0.9 + 0.105625 = -0.794375
0.105625 + -0.65x + x2 = -0.794375

Factor a perfect square on the left side:
(x + -0.325)(x + -0.325) = -0.794375

Can't calculate square root of the right side.

The solution to this equation could not be determined.