w^2+16wd+60d^2=

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Solution for w^2+16wd+60d^2= equation: 


Simplifying
w2 + 16wd + 60d2 = 0

Reorder the terms:
16dw + 60d2 + w2 = 0

Solving
16dw + 60d2 + w2 = 0

Solving for variable 'd'.

Factor a trinomial.
(10d + w)(6d + w) = 0


Subproblem 1
Set the factor '(10d + w)' equal to zero and attempt to solve:

Simplifying
10d + w = 0

Solving
10d + w = 0

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

Add '-1w' to each side of the equation.
10d + w + -1w = 0 + -1w

Combine like terms: w + -1w = 0
10d + 0 = 0 + -1w
10d = 0 + -1w
Remove the zero:
10d = -1w

Divide each side by '10'.
d = -0.1w

Simplifying
d = -0.1w

Subproblem 2
Set the factor '(6d + w)' equal to zero and attempt to solve:

Simplifying
6d + w = 0

Solving
6d + w = 0

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

Add '-1w' to each side of the equation.
6d + w + -1w = 0 + -1w

Combine like terms: w + -1w = 0
6d + 0 = 0 + -1w
6d = 0 + -1w
Remove the zero:
6d = -1w

Divide each side by '6'.
d = -0.1666666667w

Simplifying
d = -0.1666666667w
Solution
d = {-0.1w, -0.1666666667w}

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