x^2-18x=195.94

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Solution for x^2-18x=195.94 equation: 


Simplifying
x2 + -18x = 195.94

Reorder the terms:
-18x + x2 = 195.94

Solving
-18x + x2 = 195.94

Solving for variable 'x'.

Reorder the terms:
-195.94 + -18x + x2 = 195.94 + -195.94

Combine like terms: 195.94 + -195.94 = 0.00
-195.94 + -18x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '195.94' to each side of the equation.
-195.94 + -18x + 195.94 + x2 = 0.00 + 195.94

Reorder the terms:
-195.94 + 195.94 + -18x + x2 = 0.00 + 195.94

Combine like terms: -195.94 + 195.94 = 0.00
0.00 + -18x + x2 = 0.00 + 195.94
-18x + x2 = 0.00 + 195.94

Combine like terms: 0.00 + 195.94 = 195.94
-18x + x2 = 195.94

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = 195.94 + 81

Reorder the terms:
81 + -18x + x2 = 195.94 + 81

Combine like terms: 195.94 + 81 = 276.94
81 + -18x + x2 = 276.94

Factor a perfect square on the left side:
(x + -9)(x + -9) = 276.94

Calculate the square root of the right side: 16.641514354

Break this problem into two subproblems by setting 
(x + -9) equal to 16.641514354 and -16.641514354.


Subproblem 1
x + -9 = 16.641514354

Simplifying
x + -9 = 16.641514354

Reorder the terms:
-9 + x = 16.641514354

Solving
-9 + x = 16.641514354

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + x = 16.641514354 + 9

Combine like terms: -9 + 9 = 0
0 + x = 16.641514354 + 9
x = 16.641514354 + 9

Combine like terms: 16.641514354 + 9 = 25.641514354
x = 25.641514354

Simplifying
x = 25.641514354


Subproblem 2
x + -9 = -16.641514354

Simplifying
x + -9 = -16.641514354

Reorder the terms:
-9 + x = -16.641514354

Solving
-9 + x = -16.641514354

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + x = -16.641514354 + 9

Combine like terms: -9 + 9 = 0
0 + x = -16.641514354 + 9
x = -16.641514354 + 9

Combine like terms: -16.641514354 + 9 = -7.641514354
x = -7.641514354

Simplifying
x = -7.641514354


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {25.641514354, -7.641514354}

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