(11s+8)(3s-9)=0

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Solution for (11s+8)(3s-9)=0 equation: 


Simplifying
(11s + 8)(3s + -9) = 0

Reorder the terms:
(8 + 11s)(3s + -9) = 0

Reorder the terms:
(8 + 11s)(-9 + 3s) = 0

Multiply (8 + 11s) * (-9 + 3s)
(8(-9 + 3s) + 11s * (-9 + 3s)) = 0
((-9 * 8 + 3s * 8) + 11s * (-9 + 3s)) = 0
((-72 + 24s) + 11s * (-9 + 3s)) = 0
(-72 + 24s + (-9 * 11s + 3s * 11s)) = 0
(-72 + 24s + (-99s + 33s2)) = 0

Combine like terms: 24s + -99s = -75s
(-72 + -75s + 33s2) = 0

Solving
-72 + -75s + 33s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + -25s + 11s2) = 0

Factor a trinomial.
3((-8 + -11s)(3 + -1s)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -11s)' equal to zero and attempt to solve:

Simplifying
-8 + -11s = 0

Solving
-8 + -11s = 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 + -11s = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11s = 0 + 8
-11s = 0 + 8

Combine like terms: 0 + 8 = 8
-11s = 8

Divide each side by '-11'.
s = -0.7272727273

Simplifying
s = -0.7272727273

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 = {-0.7272727273, 3}

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