16r^2+40rd+25d^2=0

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Solution for 16r^2+40rd+25d^2=0 equation: 


Simplifying
16r2 + 40rd + 25d2 = 0

Reorder the terms:
40dr + 25d2 + 16r2 = 0

Solving
40dr + 25d2 + 16r2 = 0

Solving for variable 'd'.

Factor a trinomial.
(5d + 4r)(5d + 4r) = 0


Subproblem 1
Set the factor '(5d + 4r)' equal to zero and attempt to solve:

Simplifying
5d + 4r = 0

Solving
5d + 4r = 0

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

Add '-4r' to each side of the equation.
5d + 4r + -4r = 0 + -4r

Combine like terms: 4r + -4r = 0
5d + 0 = 0 + -4r
5d = 0 + -4r
Remove the zero:
5d = -4r

Divide each side by '5'.
d = -0.8r

Simplifying
d = -0.8r

Subproblem 2
Set the factor '(5d + 4r)' equal to zero and attempt to solve:

Simplifying
5d + 4r = 0

Solving
5d + 4r = 0

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

Add '-4r' to each side of the equation.
5d + 4r + -4r = 0 + -4r

Combine like terms: 4r + -4r = 0
5d + 0 = 0 + -4r
5d = 0 + -4r
Remove the zero:
5d = -4r

Divide each side by '5'.
d = -0.8r

Simplifying
d = -0.8r
Solution
d = {-0.8r, -0.8r}

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