x^2-4x+4+3.5=4.5

Solution for x^2-4x+4+3.5=4.5 equation:

Simplifying
x2 + -4x + 4 + 3.5 = 4.5

Reorder the terms:
4 + 3.5 + -4x + x2 = 4.5

Combine like terms: 4 + 3.5 = 7.5
7.5 + -4x + x2 = 4.5

Solving
7.5 + -4x + x2 = 4.5

Solving for variable 'x'.

Reorder the terms:
7.5 + -4.5 + -4x + x2 = 4.5 + -4.5

Combine like terms: 7.5 + -4.5 = 3
3 + -4x + x2 = 4.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
3 + -4x + x2 = 0.0

Factor a trinomial.
(1 + -1x)(3 + -1x) = 0.0

Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1, 3}