d^2+14d+24=0

Solution for d^2+14d+24=0 equation:

Simplifying
d2 + 14d + 24 = 0

Reorder the terms:
24 + 14d + d2 = 0

Solving
24 + 14d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(12 + d)(2 + d) = 0

Subproblem 1
Set the factor '(12 + d)' equal to zero and attempt to solve:

Simplifying
12 + d = 0

Solving
12 + d = 0

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

Add '-12' to each side of the equation.
12 + -12 + d = 0 + -12

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

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

Simplifying
d = -12
Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve:

Simplifying
2 + d = 0

Solving
2 + d = 0

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

Add '-2' to each side of the equation.
2 + -2 + d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + d = 0 + -2
d = 0 + -2

Combine like terms: 0 + -2 = -2
d = -2

Simplifying
d = -2
Solution
d = {-12, -2}