20s^2-39sw+18w^2=0

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Solution for 20s^2-39sw+18w^2=0 equation: 


Simplifying
20s2 + -39sw + 18w2 = 0

Reorder the terms:
-39sw + 20s2 + 18w2 = 0

Solving
-39sw + 20s2 + 18w2 = 0

Solving for variable 's'.

Factor a trinomial.
(5s + -6w)(4s + -3w) = 0


Subproblem 1
Set the factor '(5s + -6w)' equal to zero and attempt to solve:

Simplifying
5s + -6w = 0

Solving
5s + -6w = 0

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

Add '6w' to each side of the equation.
5s + -6w + 6w = 0 + 6w

Combine like terms: -6w + 6w = 0
5s + 0 = 0 + 6w
5s = 0 + 6w
Remove the zero:
5s = 6w

Divide each side by '5'.
s = 1.2w

Simplifying
s = 1.2w

Subproblem 2
Set the factor '(4s + -3w)' equal to zero and attempt to solve:

Simplifying
4s + -3w = 0

Solving
4s + -3w = 0

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

Add '3w' to each side of the equation.
4s + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
4s + 0 = 0 + 3w
4s = 0 + 3w
Remove the zero:
4s = 3w

Divide each side by '4'.
s = 0.75w

Simplifying
s = 0.75w
Solution
s = {1.2w, 0.75w}

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