x^2-0.08658008658x+0.0001623376=0

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Solution for x^2-0.08658008658x+0.0001623376=0 equation: 


Simplifying
x2 + -0.08658008658x + 0.0001623376 = 0

Reorder the terms:
0.0001623376 + -0.08658008658x + x2 = 0

Solving
0.0001623376 + -0.08658008658x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.0001623376' to each side of the equation.
0.0001623376 + -0.08658008658x + -0.0001623376 + x2 = 0 + -0.0001623376

Reorder the terms:
0.0001623376 + -0.0001623376 + -0.08658008658x + x2 = 0 + -0.0001623376

Combine like terms: 0.0001623376 + -0.0001623376 = 0.0000000000
0.0000000000 + -0.08658008658x + x2 = 0 + -0.0001623376
-0.08658008658x + x2 = 0 + -0.0001623376

Combine like terms: 0 + -0.0001623376 = -0.0001623376
-0.08658008658x + x2 = -0.0001623376

The x term is -0.08658008658x.  Take half its coefficient (-0.04329004329).
Square it (0.001874027848) and add it to both sides.

Add '0.001874027848' to each side of the equation.
-0.08658008658x + 0.001874027848 + x2 = -0.0001623376 + 0.001874027848

Reorder the terms:
0.001874027848 + -0.08658008658x + x2 = -0.0001623376 + 0.001874027848

Combine like terms: -0.0001623376 + 0.001874027848 = 0.001711690248
0.001874027848 + -0.08658008658x + x2 = 0.001711690248

Factor a perfect square on the left side:
(x + -0.04329004329)(x + -0.04329004329) = 0.001711690248

Calculate the square root of the right side: 0.041372578

Break this problem into two subproblems by setting 
(x + -0.04329004329) equal to 0.041372578 and -0.041372578.


Subproblem 1
x + -0.04329004329 = 0.041372578

Simplifying
x + -0.04329004329 = 0.041372578

Reorder the terms:
-0.04329004329 + x = 0.041372578

Solving
-0.04329004329 + x = 0.041372578

Solving for variable 'x'.

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

Add '0.04329004329' to each side of the equation.
-0.04329004329 + 0.04329004329 + x = 0.041372578 + 0.04329004329

Combine like terms: -0.04329004329 + 0.04329004329 = 0.00000000000
0.00000000000 + x = 0.041372578 + 0.04329004329
x = 0.041372578 + 0.04329004329

Combine like terms: 0.041372578 + 0.04329004329 = 0.08466262129
x = 0.08466262129

Simplifying
x = 0.08466262129


Subproblem 2
x + -0.04329004329 = -0.041372578

Simplifying
x + -0.04329004329 = -0.041372578

Reorder the terms:
-0.04329004329 + x = -0.041372578

Solving
-0.04329004329 + x = -0.041372578

Solving for variable 'x'.

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

Add '0.04329004329' to each side of the equation.
-0.04329004329 + 0.04329004329 + x = -0.041372578 + 0.04329004329

Combine like terms: -0.04329004329 + 0.04329004329 = 0.00000000000
0.00000000000 + x = -0.041372578 + 0.04329004329
x = -0.041372578 + 0.04329004329

Combine like terms: -0.041372578 + 0.04329004329 = 0.00191746529
x = 0.00191746529

Simplifying
x = 0.00191746529


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.08466262129, 0.00191746529}

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