4d^2-47d-12=0

Solution for 4d^2-47d-12=0 equation:

Simplifying
4d2 + -47d + -12 = 0

Reorder the terms:
-12 + -47d + 4d2 = 0

Solving
-12 + -47d + 4d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -4d)(12 + -1d) = 0

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

Simplifying
-1 + -4d = 0

Solving
-1 + -4d = 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 + -4d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4d = 0 + 1
-4d = 0 + 1

Combine like terms: 0 + 1 = 1
-4d = 1

Divide each side by '-4'.
d = -0.25

Simplifying
d = -0.25
Subproblem 2
Set the factor '(12 + -1d)' equal to zero and attempt to solve:

Simplifying
12 + -1d = 0

Solving
12 + -1d = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1d = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1d = 0 + -12
-1d = 0 + -12

Combine like terms: 0 + -12 = -12
-1d = -12

Divide each side by '-1'.
d = 12

Simplifying
d = 12
Solution
d = {-0.25, 12}