2s(3s+6u)=

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Solution for 2s(3s+6u)= equation: 


Simplifying
2s(3s + 6u) = 0
(3s * 2s + 6u * 2s) = 0

Reorder the terms:
(12su + 6s2) = 0
(12su + 6s2) = 0

Solving
12su + 6s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '6s'.
6s(2u + s) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0

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

Simplifying
2u + s = 0

Reorder the terms:
s + 2u = 0

Solving
s + 2u = 0

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

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

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

Simplifying
s = -2u
Solution
s = {0, -2u}

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