(4s+9)(s+8)=0

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Solution for (4s+9)(s+8)=0 equation: 


Simplifying
(4s + 9)(s + 8) = 0

Reorder the terms:
(9 + 4s)(s + 8) = 0

Reorder the terms:
(9 + 4s)(8 + s) = 0

Multiply (9 + 4s) * (8 + s)
(9(8 + s) + 4s * (8 + s)) = 0
((8 * 9 + s * 9) + 4s * (8 + s)) = 0
((72 + 9s) + 4s * (8 + s)) = 0
(72 + 9s + (8 * 4s + s * 4s)) = 0
(72 + 9s + (32s + 4s2)) = 0

Combine like terms: 9s + 32s = 41s
(72 + 41s + 4s2) = 0

Solving
72 + 41s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(8 + s)(9 + 4s) = 0


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

Simplifying
8 + s = 0

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

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

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

Simplifying
s = -8

Subproblem 2
Set the factor '(9 + 4s)' equal to zero and attempt to solve:

Simplifying
9 + 4s = 0

Solving
9 + 4s = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4s = 0 + -9
4s = 0 + -9

Combine like terms: 0 + -9 = -9
4s = -9

Divide each side by '4'.
s = -2.25

Simplifying
s = -2.25
Solution
s = {-8, -2.25}

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