(1054.2-d)d=0.71

Solution for (1054.2-d)d=0.71 equation:

Simplifying
(1054.2 + -1d) * d = 0.71

Reorder the terms for easier multiplication:
d(1054.2 + -1d) = 0.71
(1054.2 * d + -1d * d) = 0.71
(1054.2d + -1d2) = 0.71

Solving
1054.2d + -1d2 = 0.71

Solving for variable 'd'.

Reorder the terms:
-0.71 + 1054.2d + -1d2 = 0.71 + -0.71

Combine like terms: 0.71 + -0.71 = 0.00
-0.71 + 1054.2d + -1d2 = 0.00

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
0.71 + -1054.2d + d2 = 0.00

Move the constant term to the right:

Add '-0.71' to each side of the equation.
0.71 + -1054.2d + -0.71 + d2 = 0.00 + -0.71

Reorder the terms:
0.71 + -0.71 + -1054.2d + d2 = 0.00 + -0.71

Combine like terms: 0.71 + -0.71 = 0.00
0.00 + -1054.2d + d2 = 0.00 + -0.71
-1054.2d + d2 = 0.00 + -0.71

Combine like terms: 0.00 + -0.71 = -0.71
-1054.2d + d2 = -0.71

The d term is -1054.2d.  Take half its coefficient (-527.1).
Square it (277834.41) and add it to both sides.

Add '277834.41' to each side of the equation.
-1054.2d + 277834.41 + d2 = -0.71 + 277834.41

Reorder the terms:
277834.41 + -1054.2d + d2 = -0.71 + 277834.41

Combine like terms: -0.71 + 277834.41 = 277833.7
277834.41 + -1054.2d + d2 = 277833.7

Factor a perfect square on the left side:
(d + -527.1)(d + -527.1) = 277833.7

Calculate the square root of the right side: 527.099326503

Break this problem into two subproblems by setting 
(d + -527.1) equal to 527.099326503 and -527.099326503.

Subproblem 1
d + -527.1 = 527.099326503

Simplifying
d + -527.1 = 527.099326503

Reorder the terms:
-527.1 + d = 527.099326503

Solving
-527.1 + d = 527.099326503

Solving for variable 'd'.

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

Add '527.1' to each side of the equation.
-527.1 + 527.1 + d = 527.099326503 + 527.1

Combine like terms: -527.1 + 527.1 = 0.0
0.0 + d = 527.099326503 + 527.1
d = 527.099326503 + 527.1

Combine like terms: 527.099326503 + 527.1 = 1054.199326503
d = 1054.199326503

Simplifying
d = 1054.199326503

Subproblem 2
d + -527.1 = -527.099326503

Simplifying
d + -527.1 = -527.099326503

Reorder the terms:
-527.1 + d = -527.099326503

Solving
-527.1 + d = -527.099326503

Solving for variable 'd'.

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

Add '527.1' to each side of the equation.
-527.1 + 527.1 + d = -527.099326503 + 527.1

Combine like terms: -527.1 + 527.1 = 0.0
0.0 + d = -527.099326503 + 527.1
d = -527.099326503 + 527.1

Combine like terms: -527.099326503 + 527.1 = 0.000673497
d = 0.000673497

Simplifying
d = 0.000673497

Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {1054.199326503, 0.000673497}