36v^2+60vd+25d^2=0

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Solution for 36v^2+60vd+25d^2=0 equation: 


Simplifying
36v2 + 60vd + 25d2 = 0

Reorder the terms:
60dv + 25d2 + 36v2 = 0

Solving
60dv + 25d2 + 36v2 = 0

Solving for variable 'd'.

Factor a trinomial.
(5d + 6v)(5d + 6v) = 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 '(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
Solution
d = {-1.2v, -1.2v}

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