x^2+-36x+25=0

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Solution for x^2+-36x+25=0 equation: 


Simplifying
x2 + -36x + 25 = 0

Reorder the terms:
25 + -36x + x2 = 0

Solving
25 + -36x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -36x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -36x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -36x + x2 = 0 + -25
-36x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-36x + x2 = -25

The x term is -36x.  Take half its coefficient (-18).
Square it (324) and add it to both sides.

Add '324' to each side of the equation.
-36x + 324 + x2 = -25 + 324

Reorder the terms:
324 + -36x + x2 = -25 + 324

Combine like terms: -25 + 324 = 299
324 + -36x + x2 = 299

Factor a perfect square on the left side:
(x + -18)(x + -18) = 299

Calculate the square root of the right side: 17.291616466

Break this problem into two subproblems by setting 
(x + -18) equal to 17.291616466 and -17.291616466.


Subproblem 1
x + -18 = 17.291616466

Simplifying
x + -18 = 17.291616466

Reorder the terms:
-18 + x = 17.291616466

Solving
-18 + x = 17.291616466

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + x = 17.291616466 + 18

Combine like terms: -18 + 18 = 0
0 + x = 17.291616466 + 18
x = 17.291616466 + 18

Combine like terms: 17.291616466 + 18 = 35.291616466
x = 35.291616466

Simplifying
x = 35.291616466


Subproblem 2
x + -18 = -17.291616466

Simplifying
x + -18 = -17.291616466

Reorder the terms:
-18 + x = -17.291616466

Solving
-18 + x = -17.291616466

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + x = -17.291616466 + 18

Combine like terms: -18 + 18 = 0
0 + x = -17.291616466 + 18
x = -17.291616466 + 18

Combine like terms: -17.291616466 + 18 = 0.708383534
x = 0.708383534

Simplifying
x = 0.708383534


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {35.291616466, 0.708383534}

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