7s^2-6s-16=0

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Solution for 7s^2-6s-16=0 equation: 


Simplifying
7s2 + -6s + -16 = 0

Reorder the terms:
-16 + -6s + 7s2 = 0

Solving
-16 + -6s + 7s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-8 + -7s)(2 + -1s) = 0


Subproblem 1
Set the factor '(-8 + -7s)' equal to zero and attempt to solve:

Simplifying
-8 + -7s = 0

Solving
-8 + -7s = 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 + -7s = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7s = 0 + 8
-7s = 0 + 8

Combine like terms: 0 + 8 = 8
-7s = 8

Divide each side by '-7'.
s = -1.142857143

Simplifying
s = -1.142857143

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

Simplifying
2 + -1s = 0

Solving
2 + -1s = 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 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {-1.142857143, 2}

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