4d^2-7d-11=0

Solution for 4d^2-7d-11=0 equation:

Simplifying
4d2 + -7d + -11 = 0

Reorder the terms:
-11 + -7d + 4d2 = 0

Solving
-11 + -7d + 4d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -1d)(11 + -4d) = 0

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

Simplifying
-1 + -1d = 0

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

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

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

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

Simplifying
d = -1
Subproblem 2
Set the factor '(11 + -4d)' equal to zero and attempt to solve:

Simplifying
11 + -4d = 0

Solving
11 + -4d = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4d = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4d = 0 + -11
-4d = 0 + -11

Combine like terms: 0 + -11 = -11
-4d = -11

Divide each side by '-4'.
d = 2.75

Simplifying
d = 2.75
Solution
d = {-1, 2.75}