16s^2+40sd+25d^2=0

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Solution for 16s^2+40sd+25d^2=0 equation:


Simplifying
16s2 + 40sd + 25d2 = 0

Reorder the terms:
40ds + 25d2 + 16s2 = 0

Solving
40ds + 25d2 + 16s2 = 0

Solving for variable 'd'.

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

Subproblem 1

Set the factor '(5d + 4s)' equal to zero and attempt to solve: Simplifying 5d + 4s = 0 Solving 5d + 4s = 0 Move all terms containing d to the left, all other terms to the right. Add '-4s' to each side of the equation. 5d + 4s + -4s = 0 + -4s Combine like terms: 4s + -4s = 0 5d + 0 = 0 + -4s 5d = 0 + -4s Remove the zero: 5d = -4s Divide each side by '5'. d = -0.8s Simplifying d = -0.8s

Subproblem 2

Set the factor '(5d + 4s)' equal to zero and attempt to solve: Simplifying 5d + 4s = 0 Solving 5d + 4s = 0 Move all terms containing d to the left, all other terms to the right. Add '-4s' to each side of the equation. 5d + 4s + -4s = 0 + -4s Combine like terms: 4s + -4s = 0 5d + 0 = 0 + -4s 5d = 0 + -4s Remove the zero: 5d = -4s Divide each side by '5'. d = -0.8s Simplifying d = -0.8s

Solution

d = {-0.8s, -0.8s}

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