s(s+7)(s-15)=0

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Solution for s(s+7)(s-15)=0 equation: 


Simplifying
s(s + 7)(s + -15) = 0

Reorder the terms:
s(7 + s)(s + -15) = 0

Reorder the terms:
s(7 + s)(-15 + s) = 0

Multiply (7 + s) * (-15 + s)
s(7(-15 + s) + s(-15 + s)) = 0
s((-15 * 7 + s * 7) + s(-15 + s)) = 0
s((-105 + 7s) + s(-15 + s)) = 0
s(-105 + 7s + (-15 * s + s * s)) = 0
s(-105 + 7s + (-15s + s2)) = 0

Combine like terms: 7s + -15s = -8s
s(-105 + -8s + s2) = 0
(-105 * s + -8s * s + s2 * s) = 0
(-105s + -8s2 + s3) = 0

Solving
-105s + -8s2 + s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(-105 + -8s + s2) = 0

Factor a trinomial.
s((-7 + -1s)(15 + -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 '(-7 + -1s)' equal to zero and attempt to solve:

Simplifying
-7 + -1s = 0

Solving
-7 + -1s = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1s = 0 + 7
-1s = 0 + 7

Combine like terms: 0 + 7 = 7
-1s = 7

Divide each side by '-1'.
s = -7

Simplifying
s = -7

Subproblem 3
Set the factor '(15 + -1s)' equal to zero and attempt to solve:

Simplifying
15 + -1s = 0

Solving
15 + -1s = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1s = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1s = 0 + -15
-1s = 0 + -15

Combine like terms: 0 + -15 = -15
-1s = -15

Divide each side by '-1'.
s = 15

Simplifying
s = 15
Solution
s = {0, -7, 15}

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