d^2+10d=39

Solution for d^2+10d=39 equation:

Simplifying
d2 + 10d = 39

Reorder the terms:
10d + d2 = 39

Solving
10d + d2 = 39

Solving for variable 'd'.

Reorder the terms:
-39 + 10d + d2 = 39 + -39

Combine like terms: 39 + -39 = 0
-39 + 10d + d2 = 0

Factor a trinomial.
(-13 + -1d)(3 + -1d) = 0

Subproblem 1
Set the factor '(-13 + -1d)' equal to zero and attempt to solve:

Simplifying
-13 + -1d = 0

Solving
-13 + -1d = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1d = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1d = 0 + 13
-1d = 0 + 13

Combine like terms: 0 + 13 = 13
-1d = 13

Divide each side by '-1'.
d = -13

Simplifying
d = -13
Subproblem 2
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
Solution
d = {-13, 3}