B^2-16B+64=10

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Solution for B^2-16B+64=10 equation: 


Simplifying
B2 + -16B + 64 = 10

Reorder the terms:
64 + -16B + B2 = 10

Solving
64 + -16B + B2 = 10

Solving for variable 'B'.

Reorder the terms:
64 + -10 + -16B + B2 = 10 + -10

Combine like terms: 64 + -10 = 54
54 + -16B + B2 = 10 + -10

Combine like terms: 10 + -10 = 0
54 + -16B + B2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -16B + -54 + B2 = 0 + -54

Reorder the terms:
54 + -54 + -16B + B2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -16B + B2 = 0 + -54
-16B + B2 = 0 + -54

Combine like terms: 0 + -54 = -54
-16B + B2 = -54

The B term is -16B.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16B + 64 + B2 = -54 + 64

Reorder the terms:
64 + -16B + B2 = -54 + 64

Combine like terms: -54 + 64 = 10
64 + -16B + B2 = 10

Factor a perfect square on the left side:
(B + -8)(B + -8) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(B + -8) equal to 3.16227766 and -3.16227766.


Subproblem 1
B + -8 = 3.16227766

Simplifying
B + -8 = 3.16227766

Reorder the terms:
-8 + B = 3.16227766

Solving
-8 + B = 3.16227766

Solving for variable 'B'.

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

Add '8' to each side of the equation.
-8 + 8 + B = 3.16227766 + 8

Combine like terms: -8 + 8 = 0
0 + B = 3.16227766 + 8
B = 3.16227766 + 8

Combine like terms: 3.16227766 + 8 = 11.16227766
B = 11.16227766

Simplifying
B = 11.16227766


Subproblem 2
B + -8 = -3.16227766

Simplifying
B + -8 = -3.16227766

Reorder the terms:
-8 + B = -3.16227766

Solving
-8 + B = -3.16227766

Solving for variable 'B'.

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

Add '8' to each side of the equation.
-8 + 8 + B = -3.16227766 + 8

Combine like terms: -8 + 8 = 0
0 + B = -3.16227766 + 8
B = -3.16227766 + 8

Combine like terms: -3.16227766 + 8 = 4.83772234
B = 4.83772234

Simplifying
B = 4.83772234


Solution
The solution to the problem is based on the solutions
from the subproblems.
B = {11.16227766, 4.83772234}

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