196x^2-6x+7=0

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Solution for 196x^2-6x+7=0 equation:


Simplifying
196x2 + -6x + 7 = 0

Reorder the terms:
7 + -6x + 196x2 = 0

Solving
7 + -6x + 196x2 = 0

Solving for variable 'x'.

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

Divide each side by '196'.
0.03571428571 + -0.0306122449x + x2 = 0

Move the constant term to the right:

Add '-0.03571428571' to each side of the equation.
0.03571428571 + -0.0306122449x + -0.03571428571 + x2 = 0 + -0.03571428571

Reorder the terms:
0.03571428571 + -0.03571428571 + -0.0306122449x + x2 = 0 + -0.03571428571

Combine like terms: 0.03571428571 + -0.03571428571 = 0.00000000000
0.00000000000 + -0.0306122449x + x2 = 0 + -0.03571428571
-0.0306122449x + x2 = 0 + -0.03571428571

Combine like terms: 0 + -0.03571428571 = -0.03571428571
-0.0306122449x + x2 = -0.03571428571

The x term is -0.0306122449x.  Take half its coefficient (-0.01530612245).
Square it (0.0002342773845) and add it to both sides.

Add '0.0002342773845' to each side of the equation.
-0.0306122449x + 0.0002342773845 + x2 = -0.03571428571 + 0.0002342773845

Reorder the terms:
0.0002342773845 + -0.0306122449x + x2 = -0.03571428571 + 0.0002342773845

Combine like terms: -0.03571428571 + 0.0002342773845 = -0.0354800083255
0.0002342773845 + -0.0306122449x + x2 = -0.0354800083255

Factor a perfect square on the left side:
(x + -0.01530612245)(x + -0.01530612245) = -0.0354800083255

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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