x^2-15.87x+44.1=0

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Solution for x^2-15.87x+44.1=0 equation: 


Simplifying
x2 + -15.87x + 44.1 = 0

Reorder the terms:
44.1 + -15.87x + x2 = 0

Solving
44.1 + -15.87x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-44.1' to each side of the equation.
44.1 + -15.87x + -44.1 + x2 = 0 + -44.1

Reorder the terms:
44.1 + -44.1 + -15.87x + x2 = 0 + -44.1

Combine like terms: 44.1 + -44.1 = 0.0
0.0 + -15.87x + x2 = 0 + -44.1
-15.87x + x2 = 0 + -44.1

Combine like terms: 0 + -44.1 = -44.1
-15.87x + x2 = -44.1

The x term is -15.87x.  Take half its coefficient (-7.935).
Square it (62.964225) and add it to both sides.

Add '62.964225' to each side of the equation.
-15.87x + 62.964225 + x2 = -44.1 + 62.964225

Reorder the terms:
62.964225 + -15.87x + x2 = -44.1 + 62.964225

Combine like terms: -44.1 + 62.964225 = 18.864225
62.964225 + -15.87x + x2 = 18.864225

Factor a perfect square on the left side:
(x + -7.935)(x + -7.935) = 18.864225

Calculate the square root of the right side: 4.343296559

Break this problem into two subproblems by setting 
(x + -7.935) equal to 4.343296559 and -4.343296559.


Subproblem 1
x + -7.935 = 4.343296559

Simplifying
x + -7.935 = 4.343296559

Reorder the terms:
-7.935 + x = 4.343296559

Solving
-7.935 + x = 4.343296559

Solving for variable 'x'.

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

Add '7.935' to each side of the equation.
-7.935 + 7.935 + x = 4.343296559 + 7.935

Combine like terms: -7.935 + 7.935 = 0.000
0.000 + x = 4.343296559 + 7.935
x = 4.343296559 + 7.935

Combine like terms: 4.343296559 + 7.935 = 12.278296559
x = 12.278296559

Simplifying
x = 12.278296559


Subproblem 2
x + -7.935 = -4.343296559

Simplifying
x + -7.935 = -4.343296559

Reorder the terms:
-7.935 + x = -4.343296559

Solving
-7.935 + x = -4.343296559

Solving for variable 'x'.

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

Add '7.935' to each side of the equation.
-7.935 + 7.935 + x = -4.343296559 + 7.935

Combine like terms: -7.935 + 7.935 = 0.000
0.000 + x = -4.343296559 + 7.935
x = -4.343296559 + 7.935

Combine like terms: -4.343296559 + 7.935 = 3.591703441
x = 3.591703441

Simplifying
x = 3.591703441


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.278296559, 3.591703441}

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