9x^2-14x+49=0

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Solution for 9x^2-14x+49=0 equation:


Simplifying
9x2 + -14x + 49 = 0

Reorder the terms:
49 + -14x + 9x2 = 0

Solving
49 + -14x + 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'.
5.444444444 + -1.555555556x + x2 = 0

Move the constant term to the right:

Add '-5.444444444' to each side of the equation.
5.444444444 + -1.555555556x + -5.444444444 + x2 = 0 + -5.444444444

Reorder the terms:
5.444444444 + -5.444444444 + -1.555555556x + x2 = 0 + -5.444444444

Combine like terms: 5.444444444 + -5.444444444 = 0.000000000
0.000000000 + -1.555555556x + x2 = 0 + -5.444444444
-1.555555556x + x2 = 0 + -5.444444444

Combine like terms: 0 + -5.444444444 = -5.444444444
-1.555555556x + x2 = -5.444444444

The x term is -1.555555556x.  Take half its coefficient (-0.777777778).
Square it (0.6049382720) and add it to both sides.

Add '0.6049382720' to each side of the equation.
-1.555555556x + 0.6049382720 + x2 = -5.444444444 + 0.6049382720

Reorder the terms:
0.6049382720 + -1.555555556x + x2 = -5.444444444 + 0.6049382720

Combine like terms: -5.444444444 + 0.6049382720 = -4.839506172
0.6049382720 + -1.555555556x + x2 = -4.839506172

Factor a perfect square on the left side:
(x + -0.777777778)(x + -0.777777778) = -4.839506172

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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