x^2-88x+1296=0

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Solution for x^2-88x+1296=0 equation: 


Simplifying
x2 + -88x + 1296 = 0

Reorder the terms:
1296 + -88x + x2 = 0

Solving
1296 + -88x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1296' to each side of the equation.
1296 + -88x + -1296 + x2 = 0 + -1296

Reorder the terms:
1296 + -1296 + -88x + x2 = 0 + -1296

Combine like terms: 1296 + -1296 = 0
0 + -88x + x2 = 0 + -1296
-88x + x2 = 0 + -1296

Combine like terms: 0 + -1296 = -1296
-88x + x2 = -1296

The x term is -88x.  Take half its coefficient (-44).
Square it (1936) and add it to both sides.

Add '1936' to each side of the equation.
-88x + 1936 + x2 = -1296 + 1936

Reorder the terms:
1936 + -88x + x2 = -1296 + 1936

Combine like terms: -1296 + 1936 = 640
1936 + -88x + x2 = 640

Factor a perfect square on the left side:
(x + -44)(x + -44) = 640

Calculate the square root of the right side: 25.298221281

Break this problem into two subproblems by setting 
(x + -44) equal to 25.298221281 and -25.298221281.


Subproblem 1
x + -44 = 25.298221281

Simplifying
x + -44 = 25.298221281

Reorder the terms:
-44 + x = 25.298221281

Solving
-44 + x = 25.298221281

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + x = 25.298221281 + 44

Combine like terms: -44 + 44 = 0
0 + x = 25.298221281 + 44
x = 25.298221281 + 44

Combine like terms: 25.298221281 + 44 = 69.298221281
x = 69.298221281

Simplifying
x = 69.298221281


Subproblem 2
x + -44 = -25.298221281

Simplifying
x + -44 = -25.298221281

Reorder the terms:
-44 + x = -25.298221281

Solving
-44 + x = -25.298221281

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + x = -25.298221281 + 44

Combine like terms: -44 + 44 = 0
0 + x = -25.298221281 + 44
x = -25.298221281 + 44

Combine like terms: -25.298221281 + 44 = 18.701778719
x = 18.701778719

Simplifying
x = 18.701778719


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {69.298221281, 18.701778719}

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