x^2-25.52x+162.56525=0

Solution for x^2-25.52x+162.56525=0 equation:

Simplifying
x2 + -25.52x + 162.56525 = 0

Reorder the terms:
162.56525 + -25.52x + x2 = 0

Solving
162.56525 + -25.52x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-162.56525' to each side of the equation.
162.56525 + -25.52x + -162.56525 + x2 = 0 + -162.56525

Reorder the terms:
162.56525 + -162.56525 + -25.52x + x2 = 0 + -162.56525

Combine like terms: 162.56525 + -162.56525 = 0.00000
0.00000 + -25.52x + x2 = 0 + -162.56525
-25.52x + x2 = 0 + -162.56525

Combine like terms: 0 + -162.56525 = -162.56525
-25.52x + x2 = -162.56525

The x term is -25.52x.  Take half its coefficient (-12.76).
Square it (162.8176) and add it to both sides.

Add '162.8176' to each side of the equation.
-25.52x + 162.8176 + x2 = -162.56525 + 162.8176

Reorder the terms:
162.8176 + -25.52x + x2 = -162.56525 + 162.8176

Combine like terms: -162.56525 + 162.8176 = 0.25235
162.8176 + -25.52x + x2 = 0.25235

Factor a perfect square on the left side:
(x + -12.76)(x + -12.76) = 0.25235

Calculate the square root of the right side: 0.502344503

Break this problem into two subproblems by setting 
(x + -12.76) equal to 0.502344503 and -0.502344503.

Subproblem 1
x + -12.76 = 0.502344503

Simplifying
x + -12.76 = 0.502344503

Reorder the terms:
-12.76 + x = 0.502344503

Solving
-12.76 + x = 0.502344503

Solving for variable 'x'.

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

Add '12.76' to each side of the equation.
-12.76 + 12.76 + x = 0.502344503 + 12.76

Combine like terms: -12.76 + 12.76 = 0.00
0.00 + x = 0.502344503 + 12.76
x = 0.502344503 + 12.76

Combine like terms: 0.502344503 + 12.76 = 13.262344503
x = 13.262344503

Simplifying
x = 13.262344503

Subproblem 2
x + -12.76 = -0.502344503

Simplifying
x + -12.76 = -0.502344503

Reorder the terms:
-12.76 + x = -0.502344503

Solving
-12.76 + x = -0.502344503

Solving for variable 'x'.

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

Add '12.76' to each side of the equation.
-12.76 + 12.76 + x = -0.502344503 + 12.76

Combine like terms: -12.76 + 12.76 = 0.00
0.00 + x = -0.502344503 + 12.76
x = -0.502344503 + 12.76

Combine like terms: -0.502344503 + 12.76 = 12.257655497
x = 12.257655497

Simplifying
x = 12.257655497

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.262344503, 12.257655497}