6x^2-21x+49=0

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Solution for 6x^2-21x+49=0 equation:


Simplifying
6x2 + -21x + 49 = 0

Reorder the terms:
49 + -21x + 6x2 = 0

Solving
49 + -21x + 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 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-8.166666667' to each side of the equation.
8.166666667 + -3.5x + -8.166666667 + x2 = 0 + -8.166666667

Reorder the terms:
8.166666667 + -8.166666667 + -3.5x + x2 = 0 + -8.166666667

Combine like terms: 8.166666667 + -8.166666667 = 0.000000000
0.000000000 + -3.5x + x2 = 0 + -8.166666667
-3.5x + x2 = 0 + -8.166666667

Combine like terms: 0 + -8.166666667 = -8.166666667
-3.5x + x2 = -8.166666667

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -8.166666667 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -8.166666667 + 3.0625

Combine like terms: -8.166666667 + 3.0625 = -5.104166667
3.0625 + -3.5x + x2 = -5.104166667

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -5.104166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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