9d^2-13d-10=0

Solution for 9d^2-13d-10=0 equation:

Simplifying
9d2 + -13d + -10 = 0

Reorder the terms:
-10 + -13d + 9d2 = 0

Solving
-10 + -13d + 9d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-5 + -9d)(2 + -1d) = 0

Subproblem 1
Set the factor '(-5 + -9d)' equal to zero and attempt to solve:

Simplifying
-5 + -9d = 0

Solving
-5 + -9d = 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 + -9d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9d = 0 + 5
-9d = 0 + 5

Combine like terms: 0 + 5 = 5
-9d = 5

Divide each side by '-9'.
d = -0.5555555556

Simplifying
d = -0.5555555556
Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1d = 0 + -2
-1d = 0 + -2

Combine like terms: 0 + -2 = -2
-1d = -2

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {-0.5555555556, 2}