d^2-15d=-54

Solution for d^2-15d=-54 equation:

Simplifying
d2 + -15d = -54

Reorder the terms:
-15d + d2 = -54

Solving
-15d + d2 = -54

Solving for variable 'd'.

Reorder the terms:
54 + -15d + d2 = -54 + 54

Combine like terms: -54 + 54 = 0
54 + -15d + d2 = 0

Factor a trinomial.
(6 + -1d)(9 + -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 '(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
Solution
d = {6, 9}