d^2+12d=-35

Solution for d^2+12d=-35 equation:

Simplifying
d2 + 12d = -35

Reorder the terms:
12d + d2 = -35

Solving
12d + d2 = -35

Solving for variable 'd'.

Reorder the terms:
35 + 12d + d2 = -35 + 35

Combine like terms: -35 + 35 = 0
35 + 12d + d2 = 0

Factor a trinomial.
(7 + d)(5 + d) = 0

Subproblem 1
Set the factor '(7 + d)' equal to zero and attempt to solve:

Simplifying
7 + d = 0

Solving
7 + d = 0

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

Add '-7' to each side of the equation.
7 + -7 + d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + d = 0 + -7
d = 0 + -7

Combine like terms: 0 + -7 = -7
d = -7

Simplifying
d = -7
Subproblem 2
Set the factor '(5 + d)' equal to zero and attempt to solve:

Simplifying
5 + d = 0

Solving
5 + d = 0

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

Add '-5' to each side of the equation.
5 + -5 + d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + d = 0 + -5
d = 0 + -5

Combine like terms: 0 + -5 = -5
d = -5

Simplifying
d = -5
Solution
d = {-7, -5}