(S+5)(s+2)=-2

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Solution for (S+5)(s+2)=-2 equation:


Simplifying
(S + 5)(s + 2) = -2

Reorder the terms:
(5 + S)(s + 2) = -2

Reorder the terms:
(5 + S)(2 + s) = -2

Multiply (5 + S) * (2 + s)
(5(2 + s) + S(2 + s)) = -2
((2 * 5 + s * 5) + S(2 + s)) = -2
((10 + 5s) + S(2 + s)) = -2
(10 + 5s + (2 * S + s * S)) = -2
(10 + 5s + (2S + sS)) = -2

Reorder the terms:
(10 + 2S + 5s + sS) = -2
(10 + 2S + 5s + sS) = -2

Solving
10 + 2S + 5s + sS = -2

Solving for variable 'S'.

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

Add '-10' to each side of the equation.
10 + 2S + 5s + -10 + sS = -2 + -10

Reorder the terms:
10 + -10 + 2S + 5s + sS = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 2S + 5s + sS = -2 + -10
2S + 5s + sS = -2 + -10

Combine like terms: -2 + -10 = -12
2S + 5s + sS = -12

Add '-5s' to each side of the equation.
2S + 5s + -5s + sS = -12 + -5s

Combine like terms: 5s + -5s = 0
2S + 0 + sS = -12 + -5s
2S + sS = -12 + -5s

Reorder the terms:
12 + 2S + 5s + sS = -12 + -5s + 12 + 5s

Reorder the terms:
12 + 2S + 5s + sS = -12 + 12 + -5s + 5s

Combine like terms: -12 + 12 = 0
12 + 2S + 5s + sS = 0 + -5s + 5s
12 + 2S + 5s + sS = -5s + 5s

Combine like terms: -5s + 5s = 0
12 + 2S + 5s + sS = 0

The solution to this equation could not be determined.

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