(s+3ux)(2s+3ux)=0

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Solution for (s+3ux)(2s+3ux)=0 equation: 


Simplifying
(s + 3ux)(2s + 3ux) = 0

Multiply (s + 3ux) * (2s + 3ux)
(s(2s + 3ux) + 3ux * (2s + 3ux)) = 0
((2s * s + 3ux * s) + 3ux * (2s + 3ux)) = 0

Reorder the terms:
((3sux + 2s2) + 3ux * (2s + 3ux)) = 0
((3sux + 2s2) + 3ux * (2s + 3ux)) = 0
(3sux + 2s2 + (2s * 3ux + 3ux * 3ux)) = 0
(3sux + 2s2 + (6sux + 9u2x2)) = 0

Reorder the terms:
(3sux + 6sux + 2s2 + 9u2x2) = 0

Combine like terms: 3sux + 6sux = 9sux
(9sux + 2s2 + 9u2x2) = 0

Solving
9sux + 2s2 + 9u2x2 = 0

Solving for variable 's'.

Factor a trinomial.
(2s + 3ux)(s + 3ux) = 0


Subproblem 1
Set the factor '(2s + 3ux)' equal to zero and attempt to solve:

Simplifying
2s + 3ux = 0

Solving
2s + 3ux = 0

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

Add '-3ux' to each side of the equation.
2s + 3ux + -3ux = 0 + -3ux

Combine like terms: 3ux + -3ux = 0
2s + 0 = 0 + -3ux
2s = 0 + -3ux
Remove the zero:
2s = -3ux

Divide each side by '2'.
s = -1.5ux

Simplifying
s = -1.5ux

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

Simplifying
s + 3ux = 0

Solving
s + 3ux = 0

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

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

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

Simplifying
s = -3ux
Solution
s = {-1.5ux, -3ux}

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