d^2-5d-150=0

Solution for d^2-5d-150=0 equation:

Simplifying
d2 + -5d + -150 = 0

Reorder the terms:
-150 + -5d + d2 = 0

Solving
-150 + -5d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-10 + -1d)(15 + -1d) = 0

Subproblem 1
Set the factor '(-10 + -1d)' equal to zero and attempt to solve:

Simplifying
-10 + -1d = 0

Solving
-10 + -1d = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1d = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1d = 0 + 10
-1d = 0 + 10

Combine like terms: 0 + 10 = 10
-1d = 10

Divide each side by '-1'.
d = -10

Simplifying
d = -10
Subproblem 2
Set the factor '(15 + -1d)' equal to zero and attempt to solve:

Simplifying
15 + -1d = 0

Solving
15 + -1d = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1d = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1d = 0 + -15
-1d = 0 + -15

Combine like terms: 0 + -15 = -15
-1d = -15

Divide each side by '-1'.
d = 15

Simplifying
d = 15
Solution
d = {-10, 15}