(7s+9)(s+7)=47

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Solution for (7s+9)(s+7)=47 equation: 


Simplifying
(7s + 9)(s + 7) = 47

Reorder the terms:
(9 + 7s)(s + 7) = 47

Reorder the terms:
(9 + 7s)(7 + s) = 47

Multiply (9 + 7s) * (7 + s)
(9(7 + s) + 7s * (7 + s)) = 47
((7 * 9 + s * 9) + 7s * (7 + s)) = 47
((63 + 9s) + 7s * (7 + s)) = 47
(63 + 9s + (7 * 7s + s * 7s)) = 47
(63 + 9s + (49s + 7s2)) = 47

Combine like terms: 9s + 49s = 58s
(63 + 58s + 7s2) = 47

Solving
63 + 58s + 7s2 = 47

Solving for variable 's'.

Reorder the terms:
63 + -47 + 58s + 7s2 = 47 + -47

Combine like terms: 63 + -47 = 16
16 + 58s + 7s2 = 47 + -47

Combine like terms: 47 + -47 = 0
16 + 58s + 7s2 = 0

Factor a trinomial.
(8 + s)(2 + 7s) = 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 '(2 + 7s)' equal to zero and attempt to solve:

Simplifying
2 + 7s = 0

Solving
2 + 7s = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7s = 0 + -2
7s = 0 + -2

Combine like terms: 0 + -2 = -2
7s = -2

Divide each side by '7'.
s = -0.2857142857

Simplifying
s = -0.2857142857
Solution
s = {-8, -0.2857142857}

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