6x^2-14x+49=0

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Solution for 6x^2-14x+49=0 equation: 


Simplifying
6x2 + -14x + 49 = 0

Reorder the terms:
49 + -14x + 6x2 = 0

Solving
49 + -14x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
8.166666667 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-8.166666667' to each side of the equation.
8.166666667 + -2.333333333x + -8.166666667 + x2 = 0 + -8.166666667

Reorder the terms:
8.166666667 + -8.166666667 + -2.333333333x + x2 = 0 + -8.166666667

Combine like terms: 8.166666667 + -8.166666667 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -8.166666667
-2.333333333x + x2 = 0 + -8.166666667

Combine like terms: 0 + -8.166666667 = -8.166666667
-2.333333333x + x2 = -8.166666667

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -8.166666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -8.166666667 + 1.361111112

Combine like terms: -8.166666667 + 1.361111112 = -6.805555555
1.361111112 + -2.333333333x + x2 = -6.805555555

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -6.805555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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