20x^2-27x+20=0

Solution for 20x^2-27x+20=0 equation:

Simplifying
20x2 + -27x + 20 = 0

Reorder the terms:
20 + -27x + 20x2 = 0

Solving
20 + -27x + 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'.
1 + -1.35x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.35x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.35x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.35x + x2 = 0 + -1
-1.35x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.35x + x2 = -1

The x term is -1.35x.  Take half its coefficient (-0.675).
Square it (0.455625) and add it to both sides.

Add '0.455625' to each side of the equation.
-1.35x + 0.455625 + x2 = -1 + 0.455625

Reorder the terms:
0.455625 + -1.35x + x2 = -1 + 0.455625

Combine like terms: -1 + 0.455625 = -0.544375
0.455625 + -1.35x + x2 = -0.544375

Factor a perfect square on the left side:
(x + -0.675)(x + -0.675) = -0.544375

Can't calculate square root of the right side.

The solution to this equation could not be determined.