v^2+5vd+6d^2=

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Solution for v^2+5vd+6d^2= equation: 


Simplifying
v2 + 5vd + 6d2 = 0

Reorder the terms:
5dv + 6d2 + v2 = 0

Solving
5dv + 6d2 + v2 = 0

Solving for variable 'd'.

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


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

Simplifying
3d + v = 0

Solving
3d + v = 0

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

Add '-1v' to each side of the equation.
3d + v + -1v = 0 + -1v

Combine like terms: v + -1v = 0
3d + 0 = 0 + -1v
3d = 0 + -1v
Remove the zero:
3d = -1v

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

Simplifying
d = -0.3333333333v

Subproblem 2
Set the factor '(2d + v)' equal to zero and attempt to solve:

Simplifying
2d + v = 0

Solving
2d + v = 0

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

Add '-1v' to each side of the equation.
2d + v + -1v = 0 + -1v

Combine like terms: v + -1v = 0
2d + 0 = 0 + -1v
2d = 0 + -1v
Remove the zero:
2d = -1v

Divide each side by '2'.
d = -0.5v

Simplifying
d = -0.5v
Solution
d = {-0.3333333333v, -0.5v}

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