3d^2-47d-16=0

Solution for 3d^2-47d-16=0 equation:

Simplifying
3d2 + -47d + -16 = 0

Reorder the terms:
-16 + -47d + 3d2 = 0

Solving
-16 + -47d + 3d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -3d)(16 + -1d) = 0

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

Simplifying
-1 + -3d = 0

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

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

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

Divide each side by '-3'.
d = -0.3333333333

Simplifying
d = -0.3333333333
Subproblem 2
Set the factor '(16 + -1d)' equal to zero and attempt to solve:

Simplifying
16 + -1d = 0

Solving
16 + -1d = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1d = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1d = 0 + -16
-1d = 0 + -16

Combine like terms: 0 + -16 = -16
-1d = -16

Divide each side by '-1'.
d = 16

Simplifying
d = 16
Solution
d = {-0.3333333333, 16}