(3d+6)(4d-11)=0

Solution for (3d+6)(4d-11)=0 equation:

Simplifying
(3d + 6)(4d + -11) = 0

Reorder the terms:
(6 + 3d)(4d + -11) = 0

Reorder the terms:
(6 + 3d)(-11 + 4d) = 0

Multiply (6 + 3d) * (-11 + 4d)
(6(-11 + 4d) + 3d * (-11 + 4d)) = 0
((-11 * 6 + 4d * 6) + 3d * (-11 + 4d)) = 0
((-66 + 24d) + 3d * (-11 + 4d)) = 0
(-66 + 24d + (-11 * 3d + 4d * 3d)) = 0
(-66 + 24d + (-33d + 12d2)) = 0

Combine like terms: 24d + -33d = -9d
(-66 + -9d + 12d2) = 0

Solving
-66 + -9d + 12d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-22 + -3d + 4d2) = 0

Factor a trinomial.
3((-2 + -1d)(11 + -4d)) = 0

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

Simplifying
-2 + -1d = 0

Solving
-2 + -1d = 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 + -1d = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1d = 0 + 2
-1d = 0 + 2

Combine like terms: 0 + 2 = 2
-1d = 2

Divide each side by '-1'.
d = -2

Simplifying
d = -2
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 = {-2, 2.75}