d^2-16d+25=0

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Solution for d^2-16d+25=0 equation: 


Simplifying
d2 + -16d + 25 = 0

Reorder the terms:
25 + -16d + d2 = 0

Solving
25 + -16d + d2 = 0

Solving for variable 'd'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -16d + -25 + d2 = 0 + -25

Reorder the terms:
25 + -25 + -16d + d2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -16d + d2 = 0 + -25
-16d + d2 = 0 + -25

Combine like terms: 0 + -25 = -25
-16d + d2 = -25

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

Add '64' to each side of the equation.
-16d + 64 + d2 = -25 + 64

Reorder the terms:
64 + -16d + d2 = -25 + 64

Combine like terms: -25 + 64 = 39
64 + -16d + d2 = 39

Factor a perfect square on the left side:
(d + -8)(d + -8) = 39

Calculate the square root of the right side: 6.244997998

Break this problem into two subproblems by setting 
(d + -8) equal to 6.244997998 and -6.244997998.


Subproblem 1
d + -8 = 6.244997998

Simplifying
d + -8 = 6.244997998

Reorder the terms:
-8 + d = 6.244997998

Solving
-8 + d = 6.244997998

Solving for variable 'd'.

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

Add '8' to each side of the equation.
-8 + 8 + d = 6.244997998 + 8

Combine like terms: -8 + 8 = 0
0 + d = 6.244997998 + 8
d = 6.244997998 + 8

Combine like terms: 6.244997998 + 8 = 14.244997998
d = 14.244997998

Simplifying
d = 14.244997998


Subproblem 2
d + -8 = -6.244997998

Simplifying
d + -8 = -6.244997998

Reorder the terms:
-8 + d = -6.244997998

Solving
-8 + d = -6.244997998

Solving for variable 'd'.

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

Add '8' to each side of the equation.
-8 + 8 + d = -6.244997998 + 8

Combine like terms: -8 + 8 = 0
0 + d = -6.244997998 + 8
d = -6.244997998 + 8

Combine like terms: -6.244997998 + 8 = 1.755002002
d = 1.755002002

Simplifying
d = 1.755002002


Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {14.244997998, 1.755002002}

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