49x^2+3=14x

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Solution for 49x^2+3=14x equation:


Simplifying
49x2 + 3 = 14x

Reorder the terms:
3 + 49x2 = 14x

Solving
3 + 49x2 = 14x

Solving for variable 'x'.

Reorder the terms:
3 + -14x + 49x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
3 + -14x + 49x2 = 0

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

Divide each side by '49'.
0.0612244898 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-0.0612244898' to each side of the equation.
0.0612244898 + -0.2857142857x + -0.0612244898 + x2 = 0 + -0.0612244898

Reorder the terms:
0.0612244898 + -0.0612244898 + -0.2857142857x + x2 = 0 + -0.0612244898

Combine like terms: 0.0612244898 + -0.0612244898 = 0.0000000000
0.0000000000 + -0.2857142857x + x2 = 0 + -0.0612244898
-0.2857142857x + x2 = 0 + -0.0612244898

Combine like terms: 0 + -0.0612244898 = -0.0612244898
-0.2857142857x + x2 = -0.0612244898

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = -0.0612244898 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -0.0612244898 + 0.02040816328

Combine like terms: -0.0612244898 + 0.02040816328 = -0.04081632652
0.02040816328 + -0.2857142857x + x2 = -0.04081632652

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -0.04081632652

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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