4x^2-8x+45=0

Solution for 4x^2-8x+45=0 equation:

Simplifying
4x2 + -8x + 45 = 0

Reorder the terms:
45 + -8x + 4x2 = 0

Solving
45 + -8x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
11.25 + -2x + x2 = 0

Move the constant term to the right:

Add '-11.25' to each side of the equation.
11.25 + -2x + -11.25 + x2 = 0 + -11.25

Reorder the terms:
11.25 + -11.25 + -2x + x2 = 0 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + -2x + x2 = 0 + -11.25
-2x + x2 = 0 + -11.25

Combine like terms: 0 + -11.25 = -11.25
-2x + x2 = -11.25

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -11.25 + 1

Reorder the terms:
1 + -2x + x2 = -11.25 + 1

Combine like terms: -11.25 + 1 = -10.25
1 + -2x + x2 = -10.25

Factor a perfect square on the left side:
(x + -1)(x + -1) = -10.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.