18v^2-39vd+20d^2=0

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Solution for 18v^2-39vd+20d^2=0 equation: 


Simplifying
18v2 + -39vd + 20d2 = 0

Reorder the terms:
-39dv + 20d2 + 18v2 = 0

Solving
-39dv + 20d2 + 18v2 = 0

Solving for variable 'd'.

Factor a trinomial.
(5d + -6v)(4d + -3v) = 0


Subproblem 1
Set the factor '(5d + -6v)' equal to zero and attempt to solve:

Simplifying
5d + -6v = 0

Solving
5d + -6v = 0

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

Add '6v' to each side of the equation.
5d + -6v + 6v = 0 + 6v

Combine like terms: -6v + 6v = 0
5d + 0 = 0 + 6v
5d = 0 + 6v
Remove the zero:
5d = 6v

Divide each side by '5'.
d = 1.2v

Simplifying
d = 1.2v

Subproblem 2
Set the factor '(4d + -3v)' equal to zero and attempt to solve:

Simplifying
4d + -3v = 0

Solving
4d + -3v = 0

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

Add '3v' to each side of the equation.
4d + -3v + 3v = 0 + 3v

Combine like terms: -3v + 3v = 0
4d + 0 = 0 + 3v
4d = 0 + 3v
Remove the zero:
4d = 3v

Divide each side by '4'.
d = 0.75v

Simplifying
d = 0.75v
Solution
d = {1.2v, 0.75v}

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