18d^2+6d=24

Solution for 18d^2+6d=24 equation:

Simplifying
18d2 + 6d = 24

Reorder the terms:
6d + 18d2 = 24

Solving
6d + 18d2 = 24

Solving for variable 'd'.

Reorder the terms:
-24 + 6d + 18d2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 6d + 18d2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + d + 3d2) = 0

Factor a trinomial.
6((-4 + -3d)(1 + -1d)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-4 + -3d)' equal to zero and attempt to solve:

Simplifying
-4 + -3d = 0

Solving
-4 + -3d = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3d = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3d = 0 + 4
-3d = 0 + 4

Combine like terms: 0 + 4 = 4
-3d = 4

Divide each side by '-3'.
d = -1.333333333

Simplifying
d = -1.333333333
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 = {-1.333333333, 1}