(13s+8)(5s-2)=0

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Solution for (13s+8)(5s-2)=0 equation: 


Simplifying
(13s + 8)(5s + -2) = 0

Reorder the terms:
(8 + 13s)(5s + -2) = 0

Reorder the terms:
(8 + 13s)(-2 + 5s) = 0

Multiply (8 + 13s) * (-2 + 5s)
(8(-2 + 5s) + 13s * (-2 + 5s)) = 0
((-2 * 8 + 5s * 8) + 13s * (-2 + 5s)) = 0
((-16 + 40s) + 13s * (-2 + 5s)) = 0
(-16 + 40s + (-2 * 13s + 5s * 13s)) = 0
(-16 + 40s + (-26s + 65s2)) = 0

Combine like terms: 40s + -26s = 14s
(-16 + 14s + 65s2) = 0

Solving
-16 + 14s + 65s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-8 + -13s)(2 + -5s) = 0


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 '(2 + -5s)' equal to zero and attempt to solve:

Simplifying
2 + -5s = 0

Solving
2 + -5s = 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 + -5s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5s = 0 + -2
-5s = 0 + -2

Combine like terms: 0 + -2 = -2
-5s = -2

Divide each side by '-5'.
s = 0.4

Simplifying
s = 0.4
Solution
s = {-0.6153846154, 0.4}

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