(13s+8)(5s-15)=0

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Solution for (13s+8)(5s-15)=0 equation: 


Simplifying
(13s + 8)(5s + -15) = 0

Reorder the terms:
(8 + 13s)(5s + -15) = 0

Reorder the terms:
(8 + 13s)(-15 + 5s) = 0

Multiply (8 + 13s) * (-15 + 5s)
(8(-15 + 5s) + 13s * (-15 + 5s)) = 0
((-15 * 8 + 5s * 8) + 13s * (-15 + 5s)) = 0
((-120 + 40s) + 13s * (-15 + 5s)) = 0
(-120 + 40s + (-15 * 13s + 5s * 13s)) = 0
(-120 + 40s + (-195s + 65s2)) = 0

Combine like terms: 40s + -195s = -155s
(-120 + -155s + 65s2) = 0

Solving
-120 + -155s + 65s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-24 + -31s + 13s2) = 0

Factor a trinomial.
5((-8 + -13s)(3 + -1s)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-8 + -13s)' equal to zero and attempt to solve:

Simplifying
-8 + -13s = 0

Solving
-8 + -13s = 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 + -13s = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -13s = 0 + 8
-13s = 0 + 8

Combine like terms: 0 + 8 = 8
-13s = 8

Divide each side by '-13'.
s = -0.6153846154

Simplifying
s = -0.6153846154

Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {-0.6153846154, 3}

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