v^2-12vd+32d^2=0

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Solution for v^2-12vd+32d^2=0 equation: 


Simplifying
v2 + -12vd + 32d2 = 0

Reorder the terms:
-12dv + 32d2 + v2 = 0

Solving
-12dv + 32d2 + v2 = 0

Solving for variable 'd'.

Factor a trinomial.
(4d + -1v)(8d + -1v) = 0


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

Simplifying
4d + -1v = 0

Solving
4d + -1v = 0

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

Add 'v' to each side of the equation.
4d + -1v + v = 0 + v

Combine like terms: -1v + v = 0
4d + 0 = 0 + v
4d = 0 + v
Remove the zero:
4d = v

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

Simplifying
d = 0.25v

Subproblem 2
Set the factor '(8d + -1v)' equal to zero and attempt to solve:

Simplifying
8d + -1v = 0

Solving
8d + -1v = 0

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

Add 'v' to each side of the equation.
8d + -1v + v = 0 + v

Combine like terms: -1v + v = 0
8d + 0 = 0 + v
8d = 0 + v
Remove the zero:
8d = v

Divide each side by '8'.
d = 0.125v

Simplifying
d = 0.125v
Solution
d = {0.25v, 0.125v}

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