5s^2+27s+28=0

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Solution for 5s^2+27s+28=0 equation: 


Simplifying
5s2 + 27s + 28 = 0

Reorder the terms:
28 + 27s + 5s2 = 0

Solving
28 + 27s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(4 + s)(7 + 5s) = 0


Subproblem 1
Set the factor '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

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

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

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

Simplifying
s = -4

Subproblem 2
Set the factor '(7 + 5s)' equal to zero and attempt to solve:

Simplifying
7 + 5s = 0

Solving
7 + 5s = 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 + 5s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5s = 0 + -7
5s = 0 + -7

Combine like terms: 0 + -7 = -7
5s = -7

Divide each side by '5'.
s = -1.4

Simplifying
s = -1.4
Solution
s = {-4, -1.4}

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