(3v-3d)(3v+2d)=

Solution for (3v-3d)(3v+2d)= equation:

Simplifying
(3v + -3d)(3v + 2d) = 0

Reorder the terms:
(-3d + 3v)(3v + 2d) = 0

Reorder the terms:
(-3d + 3v)(2d + 3v) = 0

Multiply (-3d + 3v) * (2d + 3v)
(-3d * (2d + 3v) + 3v * (2d + 3v)) = 0
((2d * -3d + 3v * -3d) + 3v * (2d + 3v)) = 0

Reorder the terms:
((-9dv + -6d2) + 3v * (2d + 3v)) = 0
((-9dv + -6d2) + 3v * (2d + 3v)) = 0
(-9dv + -6d2 + (2d * 3v + 3v * 3v)) = 0
(-9dv + -6d2 + (6dv + 9v2)) = 0

Reorder the terms:
(-9dv + 6dv + -6d2 + 9v2) = 0

Combine like terms: -9dv + 6dv = -3dv
(-3dv + -6d2 + 9v2) = 0

Solving
-3dv + -6d2 + 9v2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1dv + -2d2 + 3v2) = 0

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

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

Simplifying
-2d + -3v = 0

Solving
-2d + -3v = 0

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

Add '3v' to each side of the equation.
-2d + -3v + 3v = 0 + 3v

Combine like terms: -3v + 3v = 0
-2d + 0 = 0 + 3v
-2d = 0 + 3v
Remove the zero:
-2d = 3v

Divide each side by '-2'.
d = -1.5v

Simplifying
d = -1.5v
Subproblem 2
Set the factor '(d + -1v)' equal to zero and attempt to solve:

Simplifying
d + -1v = 0

Solving
d + -1v = 0

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

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

Combine like terms: -1v + v = 0
d + 0 = 0 + v
d = 0 + v
Remove the zero:
d = v

Simplifying
d = v
Solution
d = {-1.5v, v}