3d^2+18d-81=0

Solution for 3d^2+18d-81=0 equation:

Simplifying
3d2 + 18d + -81 = 0

Reorder the terms:
-81 + 18d + 3d2 = 0

Solving
-81 + 18d + 3d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-27 + 6d + d2) = 0

Factor a trinomial.
3((-9 + -1d)(3 + -1d)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-9 + -1d)' equal to zero and attempt to solve:

Simplifying
-9 + -1d = 0

Solving
-9 + -1d = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1d = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1d = 0 + 9
-1d = 0 + 9

Combine like terms: 0 + 9 = 9
-1d = 9

Divide each side by '-1'.
d = -9

Simplifying
d = -9
Subproblem 2
Set the factor '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1d = 0 + -3

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

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

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Solution
d = {-9, 3}