s^2-18sd+81d^2=0

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Solution for s^2-18sd+81d^2=0 equation:


Simplifying
s2 + -18sd + 81d2 = 0

Reorder the terms:
-18ds + 81d2 + s2 = 0

Solving
-18ds + 81d2 + s2 = 0

Solving for variable 'd'.

Factor a trinomial.
(9d + -1s)(9d + -1s) = 0

Subproblem 1

Set the factor '(9d + -1s)' equal to zero and attempt to solve: Simplifying 9d + -1s = 0 Solving 9d + -1s = 0 Move all terms containing d to the left, all other terms to the right. Add 's' to each side of the equation. 9d + -1s + s = 0 + s Combine like terms: -1s + s = 0 9d + 0 = 0 + s 9d = 0 + s Remove the zero: 9d = s Divide each side by '9'. d = 0.1111111111s Simplifying d = 0.1111111111s

Subproblem 2

Set the factor '(9d + -1s)' equal to zero and attempt to solve: Simplifying 9d + -1s = 0 Solving 9d + -1s = 0 Move all terms containing d to the left, all other terms to the right. Add 's' to each side of the equation. 9d + -1s + s = 0 + s Combine like terms: -1s + s = 0 9d + 0 = 0 + s 9d = 0 + s Remove the zero: 9d = s Divide each side by '9'. d = 0.1111111111s Simplifying d = 0.1111111111s

Solution

d = {0.1111111111s, 0.1111111111s}

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