(3s+4)(5s-8)=

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Solution for (3s+4)(5s-8)= equation: 


Simplifying
(3s + 4)(5s + -8) = 0

Reorder the terms:
(4 + 3s)(5s + -8) = 0

Reorder the terms:
(4 + 3s)(-8 + 5s) = 0

Multiply (4 + 3s) * (-8 + 5s)
(4(-8 + 5s) + 3s * (-8 + 5s)) = 0
((-8 * 4 + 5s * 4) + 3s * (-8 + 5s)) = 0
((-32 + 20s) + 3s * (-8 + 5s)) = 0
(-32 + 20s + (-8 * 3s + 5s * 3s)) = 0
(-32 + 20s + (-24s + 15s2)) = 0

Combine like terms: 20s + -24s = -4s
(-32 + -4s + 15s2) = 0

Solving
-32 + -4s + 15s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-4 + -3s)(8 + -5s) = 0


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

Simplifying
-4 + -3s = 0

Solving
-4 + -3s = 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 + -3s = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3s = 0 + 4
-3s = 0 + 4

Combine like terms: 0 + 4 = 4
-3s = 4

Divide each side by '-3'.
s = -1.333333333

Simplifying
s = -1.333333333

Subproblem 2
Set the factor '(8 + -5s)' equal to zero and attempt to solve:

Simplifying
8 + -5s = 0

Solving
8 + -5s = 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 + -5s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5s = 0 + -8
-5s = 0 + -8

Combine like terms: 0 + -8 = -8
-5s = -8

Divide each side by '-5'.
s = 1.6

Simplifying
s = 1.6
Solution
s = {-1.333333333, 1.6}

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