12d^2-18d-3=9

Solution for 12d^2-18d-3=9 equation:

Simplifying
12d2 + -18d + -3 = 9

Reorder the terms:
-3 + -18d + 12d2 = 9

Solving
-3 + -18d + 12d2 = 9

Solving for variable 'd'.

Reorder the terms:
-3 + -9 + -18d + 12d2 = 9 + -9

Combine like terms: -3 + -9 = -12
-12 + -18d + 12d2 = 9 + -9

Combine like terms: 9 + -9 = 0
-12 + -18d + 12d2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + -3d + 2d2) = 0

Factor a trinomial.
6((-1 + -2d)(2 + -1d)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -2d)' equal to zero and attempt to solve:

Simplifying
-1 + -2d = 0

Solving
-1 + -2d = 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 + -2d = 0 + 1

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

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

Divide each side by '-2'.
d = -0.5

Simplifying
d = -0.5
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 = {-0.5, 2}