x^2-8x+20.25=0

Solution for x^2-8x+20.25=0 equation:

Simplifying
x2 + -8x + 20.25 = 0

Reorder the terms:
20.25 + -8x + x2 = 0

Solving
20.25 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-20.25' to each side of the equation.
20.25 + -8x + -20.25 + x2 = 0 + -20.25

Reorder the terms:
20.25 + -20.25 + -8x + x2 = 0 + -20.25

Combine like terms: 20.25 + -20.25 = 0.00
0.00 + -8x + x2 = 0 + -20.25
-8x + x2 = 0 + -20.25

Combine like terms: 0 + -20.25 = -20.25
-8x + x2 = -20.25

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -20.25 + 16

Reorder the terms:
16 + -8x + x2 = -20.25 + 16

Combine like terms: -20.25 + 16 = -4.25
16 + -8x + x2 = -4.25

Factor a perfect square on the left side:
(x + -4)(x + -4) = -4.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.