56s^2+17sc-3c^2=0

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Solution for 56s^2+17sc-3c^2=0 equation: 


Simplifying
56s2 + 17sc + -3c2 = 0

Reorder the terms:
17cs + -3c2 + 56s2 = 0

Solving
17cs + -3c2 + 56s2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3c + -7s)(c + -8s) = 0


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

Simplifying
-3c + -7s = 0

Solving
-3c + -7s = 0

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

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

Combine like terms: -7s + 7s = 0
-3c + 0 = 0 + 7s
-3c = 0 + 7s
Remove the zero:
-3c = 7s

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

Simplifying
c = -2.333333333s

Subproblem 2
Set the factor '(c + -8s)' equal to zero and attempt to solve:

Simplifying
c + -8s = 0

Solving
c + -8s = 0

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

Add '8s' to each side of the equation.
c + -8s + 8s = 0 + 8s

Combine like terms: -8s + 8s = 0
c + 0 = 0 + 8s
c = 0 + 8s
Remove the zero:
c = 8s

Simplifying
c = 8s
Solution
c = {-2.333333333s, 8s}

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