56c^2-17c-3=0

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

Simplifying
56c2 + -17c + -3 = 0

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

Solving
-3 + -17c + 56c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -8c)(3 + -7c) = 0

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

Simplifying
-1 + -8c = 0

Solving
-1 + -8c = 0

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

Add '1' to each side of the equation.
-1 + 1 + -8c = 0 + 1

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

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

Divide each side by '-8'.
c = -0.125

Simplifying
c = -0.125
Subproblem 2
Set the factor '(3 + -7c)' equal to zero and attempt to solve:

Simplifying
3 + -7c = 0

Solving
3 + -7c = 0

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

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

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

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

Divide each side by '-7'.
c = 0.4285714286

Simplifying
c = 0.4285714286
Solution
c = {-0.125, 0.4285714286}