6d^2+15d=-9

Solution for 6d^2+15d=-9 equation:

Simplifying
6d2 + 15d = -9

Reorder the terms:
15d + 6d2 = -9

Solving
15d + 6d2 = -9

Solving for variable 'd'.

Reorder the terms:
9 + 15d + 6d2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 15d + 6d2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 5d + 2d2) = 0

Factor a trinomial.
3((3 + 2d)(1 + d)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + 2d)' equal to zero and attempt to solve:

Simplifying
3 + 2d = 0

Solving
3 + 2d = 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 + 2d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2d = 0 + -3
2d = 0 + -3

Combine like terms: 0 + -3 = -3
2d = -3

Divide each side by '2'.
d = -1.5

Simplifying
d = -1.5
Subproblem 2
Set the factor '(1 + d)' equal to zero and attempt to solve:

Simplifying
1 + d = 0

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

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

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

Simplifying
d = -1
Solution
d = {-1.5, -1}