x^2-4x+3.75=0

Solution for x^2-4x+3.75=0 equation:

Simplifying
x2 + -4x + 3.75 = 0

Reorder the terms:
3.75 + -4x + x2 = 0

Solving
3.75 + -4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -4x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -4x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -4x + x2 = 0 + -3.75
-4x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-4x + x2 = -3.75

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -3.75 + 4

Reorder the terms:
4 + -4x + x2 = -3.75 + 4

Combine like terms: -3.75 + 4 = 0.25
4 + -4x + x2 = 0.25

Factor a perfect square on the left side:
(x + -2)(x + -2) = 0.25

Calculate the square root of the right side: 0.5

Break this problem into two subproblems by setting 
(x + -2) equal to 0.5 and -0.5.

Subproblem 1
x + -2 = 0.5

Simplifying
x + -2 = 0.5

Reorder the terms:
-2 + x = 0.5

Solving
-2 + x = 0.5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + x = 0.5 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0.5 + 2
x = 0.5 + 2

Combine like terms: 0.5 + 2 = 2.5
x = 2.5

Simplifying
x = 2.5

Subproblem 2
x + -2 = -0.5

Simplifying
x + -2 = -0.5

Reorder the terms:
-2 + x = -0.5

Solving
-2 + x = -0.5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + x = -0.5 + 2

Combine like terms: -2 + 2 = 0
0 + x = -0.5 + 2
x = -0.5 + 2

Combine like terms: -0.5 + 2 = 1.5
x = 1.5

Simplifying
x = 1.5

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.5, 1.5}