d^2-3d=54

Solution for d^2-3d=54 equation:

Simplifying
d2 + -3d = 54

Reorder the terms:
-3d + d2 = 54

Solving
-3d + d2 = 54

Solving for variable 'd'.

Reorder the terms:
-54 + -3d + d2 = 54 + -54

Combine like terms: 54 + -54 = 0
-54 + -3d + 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}