d(d+10)=-25

Solution for d(d+10)=-25 equation:

Simplifying
d(d + 10) = -25

Reorder the terms:
d(10 + d) = -25
(10 * d + d * d) = -25
(10d + d2) = -25

Solving
10d + d2 = -25

Solving for variable 'd'.

Reorder the terms:
25 + 10d + d2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 10d + d2 = 0

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

Subproblem 1
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
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 = {-5, -5}