3s^2+10s+7=0

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Solution for 3s^2+10s+7=0 equation: 


Simplifying
3s2 + 10s + 7 = 0

Reorder the terms:
7 + 10s + 3s2 = 0

Solving
7 + 10s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(7 + 3s)(1 + s) = 0


Subproblem 1
Set the factor '(7 + 3s)' equal to zero and attempt to solve:

Simplifying
7 + 3s = 0

Solving
7 + 3s = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3s = 0 + -7
3s = 0 + -7

Combine like terms: 0 + -7 = -7
3s = -7

Divide each side by '3'.
s = -2.333333333

Simplifying
s = -2.333333333

Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 0

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

Add '-1' to each side of the equation.
1 + -1 + s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + s = 0 + -1
s = 0 + -1

Combine like terms: 0 + -1 = -1
s = -1

Simplifying
s = -1
Solution
s = {-2.333333333, -1}

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