9d^2-6d-3=0

Solution for 9d^2-6d-3=0 equation:

Simplifying
9d2 + -6d + -3 = 0

Reorder the terms:
-3 + -6d + 9d2 = 0

Solving
-3 + -6d + 9d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -2d + 3d2) = 0

Factor a trinomial.
3((-1 + -3d)(1 + -1d)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -3d)' equal to zero and attempt to solve:

Simplifying
-1 + -3d = 0

Solving
-1 + -3d = 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 + -3d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3d = 0 + 1
-3d = 0 + 1

Combine like terms: 0 + 1 = 1
-3d = 1

Divide each side by '-3'.
d = -0.3333333333

Simplifying
d = -0.3333333333
Subproblem 2
Set the factor '(1 + -1d)' equal to zero and attempt to solve:

Simplifying
1 + -1d = 0

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

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

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

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

Simplifying
d = 1
Solution
d = {-0.3333333333, 1}