(9x^2)-49x+196=0

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Solution for (9x^2)-49x+196=0 equation:


Simplifying
(9x2) + -49x + 196 = 0

Reorder the terms:
196 + -49x + (9x2) = 0

Solving
196 + -49x + (9x2) = 0

Solving for variable 'x'.

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

Divide each side by '9'.
21.77777778 + -5.444444444x + x2 = 0

Move the constant term to the right:

Add '-21.77777778' to each side of the equation.
21.77777778 + -5.444444444x + -21.77777778 + x2 = 0 + -21.77777778

Reorder the terms:
21.77777778 + -21.77777778 + -5.444444444x + x2 = 0 + -21.77777778

Combine like terms: 21.77777778 + -21.77777778 = 0.00000000
0.00000000 + -5.444444444x + x2 = 0 + -21.77777778
-5.444444444x + x2 = 0 + -21.77777778

Combine like terms: 0 + -21.77777778 = -21.77777778
-5.444444444x + x2 = -21.77777778

The x term is -5.444444444x.  Take half its coefficient (-2.722222222).
Square it (7.410493826) and add it to both sides.

Add '7.410493826' to each side of the equation.
-5.444444444x + 7.410493826 + x2 = -21.77777778 + 7.410493826

Reorder the terms:
7.410493826 + -5.444444444x + x2 = -21.77777778 + 7.410493826

Combine like terms: -21.77777778 + 7.410493826 = -14.367283954
7.410493826 + -5.444444444x + x2 = -14.367283954

Factor a perfect square on the left side:
((x) + -2.722222222)((x) + -2.722222222) = -14.367283954

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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