391x^2+28x+86=0

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Solution for 391x^2+28x+86=0 equation:


Simplifying
391x2 + 28x + 86 = 0

Reorder the terms:
86 + 28x + 391x2 = 0

Solving
86 + 28x + 391x2 = 0

Solving for variable 'x'.

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

Divide each side by '391'.
0.2199488491 + 0.0716112532x + x2 = 0

Move the constant term to the right:

Add '-0.2199488491' to each side of the equation.
0.2199488491 + 0.0716112532x + -0.2199488491 + x2 = 0 + -0.2199488491

Reorder the terms:
0.2199488491 + -0.2199488491 + 0.0716112532x + x2 = 0 + -0.2199488491

Combine like terms: 0.2199488491 + -0.2199488491 = 0.0000000000
0.0000000000 + 0.0716112532x + x2 = 0 + -0.2199488491
0.0716112532x + x2 = 0 + -0.2199488491

Combine like terms: 0 + -0.2199488491 = -0.2199488491
0.0716112532x + x2 = -0.2199488491

The x term is 0.0716112532x.  Take half its coefficient (0.0358056266).
Square it (0.001282042896) and add it to both sides.

Add '0.001282042896' to each side of the equation.
0.0716112532x + 0.001282042896 + x2 = -0.2199488491 + 0.001282042896

Reorder the terms:
0.001282042896 + 0.0716112532x + x2 = -0.2199488491 + 0.001282042896

Combine like terms: -0.2199488491 + 0.001282042896 = -0.218666806204
0.001282042896 + 0.0716112532x + x2 = -0.218666806204

Factor a perfect square on the left side:
(x + 0.0358056266)(x + 0.0358056266) = -0.218666806204

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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