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

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


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

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

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

Solving for variable 'c'.

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


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

Simplifying
7 + -3c = 0

Solving
7 + -3c = 0

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

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

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

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

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

Simplifying
c = 2.333333333

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

Simplifying
8 + c = 0

Solving
8 + c = 0

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

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

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

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

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

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