d^2+10d-75=

Solution for d^2+10d-75= equation:

Simplifying
d2 + 10d + -75 = 0

Reorder the terms:
-75 + 10d + d2 = 0

Solving
-75 + 10d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-15 + -1d)(5 + -1d) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1d)' equal to zero and attempt to solve:

Simplifying
5 + -1d = 0

Solving
5 + -1d = 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 + -1d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1d = 0 + -5
-1d = 0 + -5

Combine like terms: 0 + -5 = -5
-1d = -5

Divide each side by '-1'.
d = 5

Simplifying
d = 5
Solution
d = {-15, 5}