d^2+10d+24=0

Solution for d^2+10d+24=0 equation:

Simplifying
d2 + 10d + 24 = 0

Reorder the terms:
24 + 10d + d2 = 0

Solving
24 + 10d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(6 + d)(4 + d) = 0

Subproblem 1
Set the factor '(6 + d)' equal to zero and attempt to solve:

Simplifying
6 + d = 0

Solving
6 + d = 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 + d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + d = 0 + -6
d = 0 + -6

Combine like terms: 0 + -6 = -6
d = -6

Simplifying
d = -6
Subproblem 2
Set the factor '(4 + d)' equal to zero and attempt to solve:

Simplifying
4 + d = 0

Solving
4 + d = 0

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

Add '-4' to each side of the equation.
4 + -4 + d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + d = 0 + -4
d = 0 + -4

Combine like terms: 0 + -4 = -4
d = -4

Simplifying
d = -4
Solution
d = {-6, -4}