(3s-2)*(3s)*(3s+2)=

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Solution for (3s-2)*(3s)*(3s+2)= equation: 


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

Reorder the terms:
(-2 + 3s)(3s)(3s + 2) = 0

Remove parenthesis around (3s)
(-2 + 3s) * 3s(3s + 2) = 0

Reorder the terms:
(-2 + 3s) * 3s(2 + 3s) = 0

Reorder the terms for easier multiplication:
3s(-2 + 3s)(2 + 3s) = 0

Multiply (-2 + 3s) * (2 + 3s)
3s(-2(2 + 3s) + 3s * (2 + 3s)) = 0
3s((2 * -2 + 3s * -2) + 3s * (2 + 3s)) = 0
3s((-4 + -6s) + 3s * (2 + 3s)) = 0
3s(-4 + -6s + (2 * 3s + 3s * 3s)) = 0
3s(-4 + -6s + (6s + 9s2)) = 0

Combine like terms: -6s + 6s = 0
3s(-4 + 0 + 9s2) = 0
3s(-4 + 9s2) = 0
(-4 * 3s + 9s2 * 3s) = 0
(-12s + 27s3) = 0

Solving
-12s + 27s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3s'.
3s(-4 + 9s2) = 0

Factor a difference between two squares.
3s((2 + 3s)(-2 + 3s)) = 0

Ignore the factor 3.

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 '(2 + 3s)' equal to zero and attempt to solve:

Simplifying
2 + 3s = 0

Solving
2 + 3s = 0

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

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

Combine like terms: 2 + -2 = 0
0 + 3s = 0 + -2
3s = 0 + -2

Combine like terms: 0 + -2 = -2
3s = -2

Divide each side by '3'.
s = -0.6666666667

Simplifying
s = -0.6666666667

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

Simplifying
-2 + 3s = 0

Solving
-2 + 3s = 0

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

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

Combine like terms: -2 + 2 = 0
0 + 3s = 0 + 2
3s = 0 + 2

Combine like terms: 0 + 2 = 2
3s = 2

Divide each side by '3'.
s = 0.6666666667

Simplifying
s = 0.6666666667
Solution
s = {0, -0.6666666667, 0.6666666667}

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