d^2-58d+441=0

Solution for d^2-58d+441=0 equation:

Simplifying
d2 + -58d + 441 = 0

Reorder the terms:
441 + -58d + d2 = 0

Solving
441 + -58d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(9 + -1d)(49 + -1d) = 0

Subproblem 1
Set the factor '(9 + -1d)' equal to zero and attempt to solve:

Simplifying
9 + -1d = 0

Solving
9 + -1d = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1d = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1d = 0 + -9
-1d = 0 + -9

Combine like terms: 0 + -9 = -9
-1d = -9

Divide each side by '-1'.
d = 9

Simplifying
d = 9
Subproblem 2
Set the factor '(49 + -1d)' equal to zero and attempt to solve:

Simplifying
49 + -1d = 0

Solving
49 + -1d = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1d = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1d = 0 + -49
-1d = 0 + -49

Combine like terms: 0 + -49 = -49
-1d = -49

Divide each side by '-1'.
d = 49

Simplifying
d = 49
Solution
d = {9, 49}