90d^2+114d+36=0

Solution for 90d^2+114d+36=0 equation:

Simplifying
90d2 + 114d + 36 = 0

Reorder the terms:
36 + 114d + 90d2 = 0

Solving
36 + 114d + 90d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + 19d + 15d2) = 0

Factor a trinomial.
6((2 + 3d)(3 + 5d)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(2 + 3d)' equal to zero and attempt to solve:

Simplifying
2 + 3d = 0

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

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

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

Divide each side by '3'.
d = -0.6666666667

Simplifying
d = -0.6666666667
Subproblem 2
Set the factor '(3 + 5d)' equal to zero and attempt to solve:

Simplifying
3 + 5d = 0

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

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

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

Divide each side by '5'.
d = -0.6

Simplifying
d = -0.6
Solution
d = {-0.6666666667, -0.6}