3c^2-10c-3=-31

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Solution for 3c^2-10c-3=-31 equation: 


Simplifying
3c2 + -10c + -3 = -31

Reorder the terms:
-3 + -10c + 3c2 = -31

Solving
-3 + -10c + 3c2 = -31

Solving for variable 'c'.

Reorder the terms:
-3 + 31 + -10c + 3c2 = -31 + 31

Combine like terms: -3 + 31 = 28
28 + -10c + 3c2 = -31 + 31

Combine like terms: -31 + 31 = 0
28 + -10c + 3c2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
9.333333333 + -3.333333333c + c2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -3.333333333c + -9.333333333 + c2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -3.333333333c + c2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -3.333333333c + c2 = 0 + -9.333333333
-3.333333333c + c2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-3.333333333c + c2 = -9.333333333

The c term is -3.333333333c.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333c + 2.777777779 + c2 = -9.333333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333c + c2 = -9.333333333 + 2.777777779

Combine like terms: -9.333333333 + 2.777777779 = -6.555555554
2.777777779 + -3.333333333c + c2 = -6.555555554

Factor a perfect square on the left side:
(c + -1.666666667)(c + -1.666666667) = -6.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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