56x^2+34x+67=0

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Solution for 56x^2+34x+67=0 equation:


Simplifying
56x2 + 34x + 67 = 0

Reorder the terms:
67 + 34x + 56x2 = 0

Solving
67 + 34x + 56x2 = 0

Solving for variable 'x'.

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

Divide each side by '56'.
1.196428571 + 0.6071428571x + x2 = 0

Move the constant term to the right:

Add '-1.196428571' to each side of the equation.
1.196428571 + 0.6071428571x + -1.196428571 + x2 = 0 + -1.196428571

Reorder the terms:
1.196428571 + -1.196428571 + 0.6071428571x + x2 = 0 + -1.196428571

Combine like terms: 1.196428571 + -1.196428571 = 0.000000000
0.000000000 + 0.6071428571x + x2 = 0 + -1.196428571
0.6071428571x + x2 = 0 + -1.196428571

Combine like terms: 0 + -1.196428571 = -1.196428571
0.6071428571x + x2 = -1.196428571

The x term is 0.6071428571x.  Take half its coefficient (0.3035714286).
Square it (0.09215561226) and add it to both sides.

Add '0.09215561226' to each side of the equation.
0.6071428571x + 0.09215561226 + x2 = -1.196428571 + 0.09215561226

Reorder the terms:
0.09215561226 + 0.6071428571x + x2 = -1.196428571 + 0.09215561226

Combine like terms: -1.196428571 + 0.09215561226 = -1.10427295874
0.09215561226 + 0.6071428571x + x2 = -1.10427295874

Factor a perfect square on the left side:
(x + 0.3035714286)(x + 0.3035714286) = -1.10427295874

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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