x^2-16.6x+0.64=

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Solution for x^2-16.6x+0.64= equation: 


Simplifying
x2 + -16.6x + 0.64 = 0

Reorder the terms:
0.64 + -16.6x + x2 = 0

Solving
0.64 + -16.6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + -16.6x + -0.64 + x2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + -16.6x + x2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -16.6x + x2 = 0 + -0.64
-16.6x + x2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
-16.6x + x2 = -0.64

The x term is -16.6x.  Take half its coefficient (-8.3).
Square it (68.89) and add it to both sides.

Add '68.89' to each side of the equation.
-16.6x + 68.89 + x2 = -0.64 + 68.89

Reorder the terms:
68.89 + -16.6x + x2 = -0.64 + 68.89

Combine like terms: -0.64 + 68.89 = 68.25
68.89 + -16.6x + x2 = 68.25

Factor a perfect square on the left side:
(x + -8.3)(x + -8.3) = 68.25

Calculate the square root of the right side: 8.261355821

Break this problem into two subproblems by setting 
(x + -8.3) equal to 8.261355821 and -8.261355821.


Subproblem 1
x + -8.3 = 8.261355821

Simplifying
x + -8.3 = 8.261355821

Reorder the terms:
-8.3 + x = 8.261355821

Solving
-8.3 + x = 8.261355821

Solving for variable 'x'.

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

Add '8.3' to each side of the equation.
-8.3 + 8.3 + x = 8.261355821 + 8.3

Combine like terms: -8.3 + 8.3 = 0.0
0.0 + x = 8.261355821 + 8.3
x = 8.261355821 + 8.3

Combine like terms: 8.261355821 + 8.3 = 16.561355821
x = 16.561355821

Simplifying
x = 16.561355821


Subproblem 2
x + -8.3 = -8.261355821

Simplifying
x + -8.3 = -8.261355821

Reorder the terms:
-8.3 + x = -8.261355821

Solving
-8.3 + x = -8.261355821

Solving for variable 'x'.

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

Add '8.3' to each side of the equation.
-8.3 + 8.3 + x = -8.261355821 + 8.3

Combine like terms: -8.3 + 8.3 = 0.0
0.0 + x = -8.261355821 + 8.3
x = -8.261355821 + 8.3

Combine like terms: -8.261355821 + 8.3 = 0.038644179
x = 0.038644179

Simplifying
x = 0.038644179


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {16.561355821, 0.038644179}

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