d^2-102.7d+1294.95=0

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Solution for d^2-102.7d+1294.95=0 equation: 


Simplifying
d2 + -102.7d + 1294.95 = 0

Reorder the terms:
1294.95 + -102.7d + d2 = 0

Solving
1294.95 + -102.7d + d2 = 0

Solving for variable 'd'.

Begin completing the square.

Move the constant term to the right:

Add '-1294.95' to each side of the equation.
1294.95 + -102.7d + -1294.95 + d2 = 0 + -1294.95

Reorder the terms:
1294.95 + -1294.95 + -102.7d + d2 = 0 + -1294.95

Combine like terms: 1294.95 + -1294.95 = 0.00
0.00 + -102.7d + d2 = 0 + -1294.95
-102.7d + d2 = 0 + -1294.95

Combine like terms: 0 + -1294.95 = -1294.95
-102.7d + d2 = -1294.95

The d term is -102.7d.  Take half its coefficient (-51.35).
Square it (2636.8225) and add it to both sides.

Add '2636.8225' to each side of the equation.
-102.7d + 2636.8225 + d2 = -1294.95 + 2636.8225

Reorder the terms:
2636.8225 + -102.7d + d2 = -1294.95 + 2636.8225

Combine like terms: -1294.95 + 2636.8225 = 1341.8725
2636.8225 + -102.7d + d2 = 1341.8725

Factor a perfect square on the left side:
(d + -51.35)(d + -51.35) = 1341.8725

Calculate the square root of the right side: 36.631577908

Break this problem into two subproblems by setting 
(d + -51.35) equal to 36.631577908 and -36.631577908.


Subproblem 1
d + -51.35 = 36.631577908

Simplifying
d + -51.35 = 36.631577908

Reorder the terms:
-51.35 + d = 36.631577908

Solving
-51.35 + d = 36.631577908

Solving for variable 'd'.

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

Add '51.35' to each side of the equation.
-51.35 + 51.35 + d = 36.631577908 + 51.35

Combine like terms: -51.35 + 51.35 = 0.00
0.00 + d = 36.631577908 + 51.35
d = 36.631577908 + 51.35

Combine like terms: 36.631577908 + 51.35 = 87.981577908
d = 87.981577908

Simplifying
d = 87.981577908


Subproblem 2
d + -51.35 = -36.631577908

Simplifying
d + -51.35 = -36.631577908

Reorder the terms:
-51.35 + d = -36.631577908

Solving
-51.35 + d = -36.631577908

Solving for variable 'd'.

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

Add '51.35' to each side of the equation.
-51.35 + 51.35 + d = -36.631577908 + 51.35

Combine like terms: -51.35 + 51.35 = 0.00
0.00 + d = -36.631577908 + 51.35
d = -36.631577908 + 51.35

Combine like terms: -36.631577908 + 51.35 = 14.718422092
d = 14.718422092

Simplifying
d = 14.718422092


Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {87.981577908, 14.718422092}

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