1d^2+29d+100=0

Solution for 1d^2+29d+100=0 equation:

Simplifying
1d2 + 29d + 100 = 0

Reorder the terms:
100 + 29d + 1d2 = 0

Solving
100 + 29d + 1d2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(25 + d)' equal to zero and attempt to solve:

Simplifying
25 + d = 0

Solving
25 + d = 0

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

Add '-25' to each side of the equation.
25 + -25 + d = 0 + -25

Combine like terms: 25 + -25 = 0
0 + d = 0 + -25
d = 0 + -25

Combine like terms: 0 + -25 = -25
d = -25

Simplifying
d = -25
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 = {-25, -4}