16s^2+72sd+81d^2=0

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Solution for 16s^2+72sd+81d^2=0 equation:


Simplifying
16s2 + 72sd + 81d2 = 0

Reorder the terms:
72ds + 81d2 + 16s2 = 0

Solving
72ds + 81d2 + 16s2 = 0

Solving for variable 'd'.

Factor a trinomial.
(9d + 4s)(9d + 4s) = 0

Subproblem 1

Set the factor '(9d + 4s)' equal to zero and attempt to solve: Simplifying 9d + 4s = 0 Solving 9d + 4s = 0 Move all terms containing d to the left, all other terms to the right. Add '-4s' to each side of the equation. 9d + 4s + -4s = 0 + -4s Combine like terms: 4s + -4s = 0 9d + 0 = 0 + -4s 9d = 0 + -4s Remove the zero: 9d = -4s Divide each side by '9'. d = -0.4444444444s Simplifying d = -0.4444444444s

Subproblem 2

Set the factor '(9d + 4s)' equal to zero and attempt to solve: Simplifying 9d + 4s = 0 Solving 9d + 4s = 0 Move all terms containing d to the left, all other terms to the right. Add '-4s' to each side of the equation. 9d + 4s + -4s = 0 + -4s Combine like terms: 4s + -4s = 0 9d + 0 = 0 + -4s 9d = 0 + -4s Remove the zero: 9d = -4s Divide each side by '9'. d = -0.4444444444s Simplifying d = -0.4444444444s

Solution

d = {-0.4444444444s, -0.4444444444s}

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