d^2+36=12d

Solution for d^2+36=12d equation:

Simplifying
d2 + 36 = 12d

Reorder the terms:
36 + d2 = 12d

Solving
36 + d2 = 12d

Solving for variable 'd'.

Reorder the terms:
36 + -12d + d2 = 12d + -12d

Combine like terms: 12d + -12d = 0
36 + -12d + d2 = 0

Factor a trinomial.
(6 + -1d)(6 + -1d) = 0

Subproblem 1
Set the factor '(6 + -1d)' equal to zero and attempt to solve:

Simplifying
6 + -1d = 0

Solving
6 + -1d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = 0 + -6
-1d = 0 + -6

Combine like terms: 0 + -6 = -6
-1d = -6

Divide each side by '-1'.
d = 6

Simplifying
d = 6
Subproblem 2
Set the factor '(6 + -1d)' equal to zero and attempt to solve:

Simplifying
6 + -1d = 0

Solving
6 + -1d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = 0 + -6
-1d = 0 + -6

Combine like terms: 0 + -6 = -6
-1d = -6

Divide each side by '-1'.
d = 6

Simplifying
d = 6
Solution
d = {6, 6}