s(s-4)(s+9)=0

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Solution for s(s-4)(s+9)=0 equation: 


Simplifying
s(s + -4)(s + 9) = 0

Reorder the terms:
s(-4 + s)(s + 9) = 0

Reorder the terms:
s(-4 + s)(9 + s) = 0

Multiply (-4 + s) * (9 + s)
s(-4(9 + s) + s(9 + s)) = 0
s((9 * -4 + s * -4) + s(9 + s)) = 0
s((-36 + -4s) + s(9 + s)) = 0
s(-36 + -4s + (9 * s + s * s)) = 0
s(-36 + -4s + (9s + s2)) = 0

Combine like terms: -4s + 9s = 5s
s(-36 + 5s + s2) = 0
(-36 * s + 5s * s + s2 * s) = 0
(-36s + 5s2 + s3) = 0

Solving
-36s + 5s2 + s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(-36 + 5s + s2) = 0

Factor a trinomial.
s((-9 + -1s)(4 + -1s)) = 0


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 '(-9 + -1s)' equal to zero and attempt to solve:

Simplifying
-9 + -1s = 0

Solving
-9 + -1s = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1s = 0 + 9
-1s = 0 + 9

Combine like terms: 0 + 9 = 9
-1s = 9

Divide each side by '-1'.
s = -9

Simplifying
s = -9

Subproblem 3
Set the factor '(4 + -1s)' equal to zero and attempt to solve:

Simplifying
4 + -1s = 0

Solving
4 + -1s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1s = 0 + -4
-1s = 0 + -4

Combine like terms: 0 + -4 = -4
-1s = -4

Divide each side by '-1'.
s = 4

Simplifying
s = 4
Solution
s = {0, -9, 4}

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