7s^2-48s-64=0

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Solution for 7s^2-48s-64=0 equation: 


Simplifying
7s2 + -48s + -64 = 0

Reorder the terms:
-64 + -48s + 7s2 = 0

Solving
-64 + -48s + 7s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-8 + -7s)(8 + -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 '(8 + -1s)' equal to zero and attempt to solve:

Simplifying
8 + -1s = 0

Solving
8 + -1s = 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 + -1s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1s = 0 + -8
-1s = 0 + -8

Combine like terms: 0 + -8 = -8
-1s = -8

Divide each side by '-1'.
s = 8

Simplifying
s = 8
Solution
s = {-1.142857143, 8}

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