d^2-13d=48

Solution for d^2-13d=48 equation:

Simplifying
d2 + -13d = 48

Reorder the terms:
-13d + d2 = 48

Solving
-13d + d2 = 48

Solving for variable 'd'.

Reorder the terms:
-48 + -13d + d2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -13d + d2 = 0

Factor a trinomial.
(-3 + -1d)(16 + -1d) = 0

Subproblem 1
Set the factor '(-3 + -1d)' equal to zero and attempt to solve:

Simplifying
-3 + -1d = 0

Solving
-3 + -1d = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1d = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1d = 0 + 3
-1d = 0 + 3

Combine like terms: 0 + 3 = 3
-1d = 3

Divide each side by '-1'.
d = -3

Simplifying
d = -3
Subproblem 2
Set the factor '(16 + -1d)' equal to zero and attempt to solve:

Simplifying
16 + -1d = 0

Solving
16 + -1d = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1d = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1d = 0 + -16
-1d = 0 + -16

Combine like terms: 0 + -16 = -16
-1d = -16

Divide each side by '-1'.
d = 16

Simplifying
d = 16
Solution
d = {-3, 16}