10d^2+60d+50=0

Solution for 10d^2+60d+50=0 equation:

Simplifying
10d2 + 60d + 50 = 0

Reorder the terms:
50 + 60d + 10d2 = 0

Solving
50 + 60d + 10d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '10'.
10(5 + 6d + d2) = 0

Factor a trinomial.
10((5 + d)(1 + d)) = 0

Ignore the factor 10.
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 '(1 + d)' equal to zero and attempt to solve:

Simplifying
1 + d = 0

Solving
1 + d = 0

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

Add '-1' to each side of the equation.
1 + -1 + d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + d = 0 + -1
d = 0 + -1

Combine like terms: 0 + -1 = -1
d = -1

Simplifying
d = -1
Solution
d = {-5, -1}