3x(x)+13x+56=0

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Solution for 3x(x)+13x+56=0 equation: 


Simplifying
3x(x) + 13x + 56 = 0

Multiply x * x
3x2 + 13x + 56 = 0

Reorder the terms:
56 + 13x + 3x2 = 0

Solving
56 + 13x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
18.66666667 + 4.333333333x + x2 = 0

Move the constant term to the right:

Add '-18.66666667' to each side of the equation.
18.66666667 + 4.333333333x + -18.66666667 + x2 = 0 + -18.66666667

Reorder the terms:
18.66666667 + -18.66666667 + 4.333333333x + x2 = 0 + -18.66666667

Combine like terms: 18.66666667 + -18.66666667 = 0.00000000
0.00000000 + 4.333333333x + x2 = 0 + -18.66666667
4.333333333x + x2 = 0 + -18.66666667

Combine like terms: 0 + -18.66666667 = -18.66666667
4.333333333x + x2 = -18.66666667

The x term is 4.333333333x.  Take half its coefficient (2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
4.333333333x + 4.694444446 + x2 = -18.66666667 + 4.694444446

Reorder the terms:
4.694444446 + 4.333333333x + x2 = -18.66666667 + 4.694444446

Combine like terms: -18.66666667 + 4.694444446 = -13.972222224
4.694444446 + 4.333333333x + x2 = -13.972222224

Factor a perfect square on the left side:
(x + 2.166666667)(x + 2.166666667) = -13.972222224

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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