9d^2-18d+3=-2

Solution for 9d^2-18d+3=-2 equation:

Simplifying
9d2 + -18d + 3 = -2

Reorder the terms:
3 + -18d + 9d2 = -2

Solving
3 + -18d + 9d2 = -2

Solving for variable 'd'.

Reorder the terms:
3 + 2 + -18d + 9d2 = -2 + 2

Combine like terms: 3 + 2 = 5
5 + -18d + 9d2 = -2 + 2

Combine like terms: -2 + 2 = 0
5 + -18d + 9d2 = 0

Factor a trinomial.
(1 + -3d)(5 + -3d) = 0

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 '(5 + -3d)' equal to zero and attempt to solve:

Simplifying
5 + -3d = 0

Solving
5 + -3d = 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 + -3d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3d = 0 + -5
-3d = 0 + -5

Combine like terms: 0 + -5 = -5
-3d = -5

Divide each side by '-3'.
d = 1.666666667

Simplifying
d = 1.666666667
Solution
d = {0.3333333333, 1.666666667}