(S+8)(6s^2+13s-5)=0

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Solution for (S+8)(6s^2+13s-5)=0 equation:


Simplifying
(S + 8)(6s2 + 13s + -5) = 0

Reorder the terms:
(8 + S)(6s2 + 13s + -5) = 0

Reorder the terms:
(8 + S)(-5 + 13s + 6s2) = 0

Multiply (8 + S) * (-5 + 13s + 6s2)
(8(-5 + 13s + 6s2) + S(-5 + 13s + 6s2)) = 0
((-5 * 8 + 13s * 8 + 6s2 * 8) + S(-5 + 13s + 6s2)) = 0
((-40 + 104s + 48s2) + S(-5 + 13s + 6s2)) = 0
(-40 + 104s + 48s2 + (-5 * S + 13s * S + 6s2 * S)) = 0
(-40 + 104s + 48s2 + (-5S + 13sS + 6s2S)) = 0

Reorder the terms:
(-40 + -5S + 104s + 13sS + 48s2 + 6s2S) = 0
(-40 + -5S + 104s + 13sS + 48s2 + 6s2S) = 0

Solving
-40 + -5S + 104s + 13sS + 48s2 + 6s2S = 0

Solving for variable 'S'.

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

Add '40' to each side of the equation.
-40 + -5S + 104s + 13sS + 48s2 + 40 + 6s2S = 0 + 40

Reorder the terms:
-40 + 40 + -5S + 104s + 13sS + 48s2 + 6s2S = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -5S + 104s + 13sS + 48s2 + 6s2S = 0 + 40
-5S + 104s + 13sS + 48s2 + 6s2S = 0 + 40

Combine like terms: 0 + 40 = 40
-5S + 104s + 13sS + 48s2 + 6s2S = 40

Add '-104s' to each side of the equation.
-5S + 104s + 13sS + 48s2 + -104s + 6s2S = 40 + -104s

Reorder the terms:
-5S + 104s + -104s + 13sS + 48s2 + 6s2S = 40 + -104s

Combine like terms: 104s + -104s = 0
-5S + 0 + 13sS + 48s2 + 6s2S = 40 + -104s
-5S + 13sS + 48s2 + 6s2S = 40 + -104s

Add '-48s2' to each side of the equation.
-5S + 13sS + 48s2 + -48s2 + 6s2S = 40 + -104s + -48s2

Combine like terms: 48s2 + -48s2 = 0
-5S + 13sS + 0 + 6s2S = 40 + -104s + -48s2
-5S + 13sS + 6s2S = 40 + -104s + -48s2

Reorder the terms:
-40 + -5S + 104s + 13sS + 48s2 + 6s2S = 40 + -104s + -48s2 + -40 + 104s + 48s2

Reorder the terms:
-40 + -5S + 104s + 13sS + 48s2 + 6s2S = 40 + -40 + -104s + 104s + -48s2 + 48s2

Combine like terms: 40 + -40 = 0
-40 + -5S + 104s + 13sS + 48s2 + 6s2S = 0 + -104s + 104s + -48s2 + 48s2
-40 + -5S + 104s + 13sS + 48s2 + 6s2S = -104s + 104s + -48s2 + 48s2

Combine like terms: -104s + 104s = 0
-40 + -5S + 104s + 13sS + 48s2 + 6s2S = 0 + -48s2 + 48s2
-40 + -5S + 104s + 13sS + 48s2 + 6s2S = -48s2 + 48s2

Combine like terms: -48s2 + 48s2 = 0
-40 + -5S + 104s + 13sS + 48s2 + 6s2S = 0

The solution to this equation could not be determined.

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