d^2+0.16d-0.173=0

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Solution for d^2+0.16d-0.173=0 equation:


Simplifying
d2 + 0.16d + -0.173 = 0

Reorder the terms:
-0.173 + 0.16d + d2 = 0

Solving
-0.173 + 0.16d + d2 = 0

Solving for variable 'd'.

Begin completing the square.

Move the constant term to the right:

Add '0.173' to each side of the equation.
-0.173 + 0.16d + 0.173 + d2 = 0 + 0.173

Reorder the terms:
-0.173 + 0.173 + 0.16d + d2 = 0 + 0.173

Combine like terms: -0.173 + 0.173 = 0.000
0.000 + 0.16d + d2 = 0 + 0.173
0.16d + d2 = 0 + 0.173

Combine like terms: 0 + 0.173 = 0.173
0.16d + d2 = 0.173

The d term is 0.16d.  Take half its coefficient (0.08).
Square it (0.0064) and add it to both sides.

Add '0.0064' to each side of the equation.
0.16d + 0.0064 + d2 = 0.173 + 0.0064

Reorder the terms:
0.0064 + 0.16d + d2 = 0.173 + 0.0064

Combine like terms: 0.173 + 0.0064 = 0.1794
0.0064 + 0.16d + d2 = 0.1794

Factor a perfect square on the left side:
(d + 0.08)(d + 0.08) = 0.1794

Calculate the square root of the right side: 0.423556372

Break this problem into two subproblems by setting 
(d + 0.08) equal to 0.423556372 and -0.423556372.


Subproblem 1
d + 0.08 = 0.423556372

Simplifying
d + 0.08 = 0.423556372

Reorder the terms:
0.08 + d = 0.423556372

Solving
0.08 + d = 0.423556372

Solving for variable 'd'.

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

Add '-0.08' to each side of the equation.
0.08 + -0.08 + d = 0.423556372 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + d = 0.423556372 + -0.08
d = 0.423556372 + -0.08

Combine like terms: 0.423556372 + -0.08 = 0.343556372
d = 0.343556372

Simplifying
d = 0.343556372


Subproblem 2
d + 0.08 = -0.423556372

Simplifying
d + 0.08 = -0.423556372

Reorder the terms:
0.08 + d = -0.423556372

Solving
0.08 + d = -0.423556372

Solving for variable 'd'.

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

Add '-0.08' to each side of the equation.
0.08 + -0.08 + d = -0.423556372 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + d = -0.423556372 + -0.08
d = -0.423556372 + -0.08

Combine like terms: -0.423556372 + -0.08 = -0.503556372
d = -0.503556372

Simplifying
d = -0.503556372


Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {0.343556372, -0.503556372}

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