x^2-4x+2.36=0

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Solution for x^2-4x+2.36=0 equation: 


Simplifying
x2 + -4x + 2.36 = 0

Reorder the terms:
2.36 + -4x + x2 = 0

Solving
2.36 + -4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2.36' to each side of the equation.
2.36 + -4x + -2.36 + x2 = 0 + -2.36

Reorder the terms:
2.36 + -2.36 + -4x + x2 = 0 + -2.36

Combine like terms: 2.36 + -2.36 = 0.00
0.00 + -4x + x2 = 0 + -2.36
-4x + x2 = 0 + -2.36

Combine like terms: 0 + -2.36 = -2.36
-4x + x2 = -2.36

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 = -2.36 + 4

Reorder the terms:
4 + -4x + x2 = -2.36 + 4

Combine like terms: -2.36 + 4 = 1.64
4 + -4x + x2 = 1.64

Factor a perfect square on the left side:
(x + -2)(x + -2) = 1.64

Calculate the square root of the right side: 1.280624847

Break this problem into two subproblems by setting 
(x + -2) equal to 1.280624847 and -1.280624847.


Subproblem 1
x + -2 = 1.280624847

Simplifying
x + -2 = 1.280624847

Reorder the terms:
-2 + x = 1.280624847

Solving
-2 + x = 1.280624847

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 = 1.280624847 + 2

Combine like terms: -2 + 2 = 0
0 + x = 1.280624847 + 2
x = 1.280624847 + 2

Combine like terms: 1.280624847 + 2 = 3.280624847
x = 3.280624847

Simplifying
x = 3.280624847


Subproblem 2
x + -2 = -1.280624847

Simplifying
x + -2 = -1.280624847

Reorder the terms:
-2 + x = -1.280624847

Solving
-2 + x = -1.280624847

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 = -1.280624847 + 2

Combine like terms: -2 + 2 = 0
0 + x = -1.280624847 + 2
x = -1.280624847 + 2

Combine like terms: -1.280624847 + 2 = 0.719375153
x = 0.719375153

Simplifying
x = 0.719375153


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.280624847, 0.719375153}

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