3x^2-28x+196=0

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Solution for 3x^2-28x+196=0 equation:


Simplifying
3x2 + -28x + 196 = 0

Reorder the terms:
196 + -28x + 3x2 = 0

Solving
196 + -28x + 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'.
65.33333333 + -9.333333333x + x2 = 0

Move the constant term to the right:

Add '-65.33333333' to each side of the equation.
65.33333333 + -9.333333333x + -65.33333333 + x2 = 0 + -65.33333333

Reorder the terms:
65.33333333 + -65.33333333 + -9.333333333x + x2 = 0 + -65.33333333

Combine like terms: 65.33333333 + -65.33333333 = 0.00000000
0.00000000 + -9.333333333x + x2 = 0 + -65.33333333
-9.333333333x + x2 = 0 + -65.33333333

Combine like terms: 0 + -65.33333333 = -65.33333333
-9.333333333x + x2 = -65.33333333

The x term is -9.333333333x.  Take half its coefficient (-4.666666667).
Square it (21.77777778) and add it to both sides.

Add '21.77777778' to each side of the equation.
-9.333333333x + 21.77777778 + x2 = -65.33333333 + 21.77777778

Reorder the terms:
21.77777778 + -9.333333333x + x2 = -65.33333333 + 21.77777778

Combine like terms: -65.33333333 + 21.77777778 = -43.55555555
21.77777778 + -9.333333333x + x2 = -43.55555555

Factor a perfect square on the left side:
(x + -4.666666667)(x + -4.666666667) = -43.55555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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