x^2-8x+5=-9.99

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Solution for x^2-8x+5=-9.99 equation: 


Simplifying
x2 + -8x + 5 = -9.99

Reorder the terms:
5 + -8x + x2 = -9.99

Solving
5 + -8x + x2 = -9.99

Solving for variable 'x'.

Reorder the terms:
5 + 9.99 + -8x + x2 = -9.99 + 9.99

Combine like terms: 5 + 9.99 = 14.99
14.99 + -8x + x2 = -9.99 + 9.99

Combine like terms: -9.99 + 9.99 = 0.00
14.99 + -8x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-14.99' to each side of the equation.
14.99 + -8x + -14.99 + x2 = 0.00 + -14.99

Reorder the terms:
14.99 + -14.99 + -8x + x2 = 0.00 + -14.99

Combine like terms: 14.99 + -14.99 = 0.00
0.00 + -8x + x2 = 0.00 + -14.99
-8x + x2 = 0.00 + -14.99

Combine like terms: 0.00 + -14.99 = -14.99
-8x + x2 = -14.99

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -14.99 + 16

Reorder the terms:
16 + -8x + x2 = -14.99 + 16

Combine like terms: -14.99 + 16 = 1.01
16 + -8x + x2 = 1.01

Factor a perfect square on the left side:
(x + -4)(x + -4) = 1.01

Calculate the square root of the right side: 1.004987562

Break this problem into two subproblems by setting 
(x + -4) equal to 1.004987562 and -1.004987562.


Subproblem 1
x + -4 = 1.004987562

Simplifying
x + -4 = 1.004987562

Reorder the terms:
-4 + x = 1.004987562

Solving
-4 + x = 1.004987562

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 1.004987562 + 4

Combine like terms: -4 + 4 = 0
0 + x = 1.004987562 + 4
x = 1.004987562 + 4

Combine like terms: 1.004987562 + 4 = 5.004987562
x = 5.004987562

Simplifying
x = 5.004987562


Subproblem 2
x + -4 = -1.004987562

Simplifying
x + -4 = -1.004987562

Reorder the terms:
-4 + x = -1.004987562

Solving
-4 + x = -1.004987562

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -1.004987562 + 4

Combine like terms: -4 + 4 = 0
0 + x = -1.004987562 + 4
x = -1.004987562 + 4

Combine like terms: -1.004987562 + 4 = 2.995012438
x = 2.995012438

Simplifying
x = 2.995012438


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.004987562, 2.995012438}

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