3x^2+13x+22=0

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Solution for 3x^2+13x+22=0 equation: 


Simplifying
3x2 + 13x + 22 = 0

Reorder the terms:
22 + 13x + 3x2 = 0

Solving
22 + 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'.
7.333333333 + 4.333333333x + x2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + 4.333333333x + -7.333333333 + x2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + 4.333333333x + x2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + 4.333333333x + x2 = 0 + -7.333333333
4.333333333x + x2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
4.333333333x + x2 = -7.333333333

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 = -7.333333333 + 4.694444446

Reorder the terms:
4.694444446 + 4.333333333x + x2 = -7.333333333 + 4.694444446

Combine like terms: -7.333333333 + 4.694444446 = -2.638888887
4.694444446 + 4.333333333x + x2 = -2.638888887

Factor a perfect square on the left side:
(x + 2.166666667)(x + 2.166666667) = -2.638888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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