4(s+8)(s-5)=0

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Solution for 4(s+8)(s-5)=0 equation: 


Simplifying
4(s + 8)(s + -5) = 0

Reorder the terms:
4(8 + s)(s + -5) = 0

Reorder the terms:
4(8 + s)(-5 + s) = 0

Multiply (8 + s) * (-5 + s)
4(8(-5 + s) + s(-5 + s)) = 0
4((-5 * 8 + s * 8) + s(-5 + s)) = 0
4((-40 + 8s) + s(-5 + s)) = 0
4(-40 + 8s + (-5 * s + s * s)) = 0
4(-40 + 8s + (-5s + s2)) = 0

Combine like terms: 8s + -5s = 3s
4(-40 + 3s + s2) = 0
(-40 * 4 + 3s * 4 + s2 * 4) = 0
(-160 + 12s + 4s2) = 0

Solving
-160 + 12s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-40 + 3s + s2) = 0

Factor a trinomial.
4((-8 + -1s)(5 + -1s)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-8 + -1s)' equal to zero and attempt to solve:

Simplifying
-8 + -1s = 0

Solving
-8 + -1s = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1s = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1s = 0 + 8
-1s = 0 + 8

Combine like terms: 0 + 8 = 8
-1s = 8

Divide each side by '-1'.
s = -8

Simplifying
s = -8

Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-8, 5}

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