15d^2-48d+9=0

Solution for 15d^2-48d+9=0 equation:

Simplifying
15d2 + -48d + 9 = 0

Reorder the terms:
9 + -48d + 15d2 = 0

Solving
9 + -48d + 15d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + -16d + 5d2) = 0

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

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -5d)' equal to zero and attempt to solve:

Simplifying
1 + -5d = 0

Solving
1 + -5d = 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 + -5d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5d = 0 + -1
-5d = 0 + -1

Combine like terms: 0 + -1 = -1
-5d = -1

Divide each side by '-5'.
d = 0.2

Simplifying
d = 0.2
Subproblem 2
Set the factor '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 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 + -1d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d = 0 + -3
-1d = 0 + -3

Combine like terms: 0 + -3 = -3
-1d = -3

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Solution
d = {0.2, 3}