3X^2-14X+49=6

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Solution for 3X^2-14X+49=6 equation: 


Simplifying
3X2 + -14X + 49 = 6

Reorder the terms:
49 + -14X + 3X2 = 6

Solving
49 + -14X + 3X2 = 6

Solving for variable 'X'.

Reorder the terms:
49 + -6 + -14X + 3X2 = 6 + -6

Combine like terms: 49 + -6 = 43
43 + -14X + 3X2 = 6 + -6

Combine like terms: 6 + -6 = 0
43 + -14X + 3X2 = 0

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

Divide each side by '3'.
14.33333333 + -4.666666667X + X2 = 0

Move the constant term to the right:

Add '-14.33333333' to each side of the equation.
14.33333333 + -4.666666667X + -14.33333333 + X2 = 0 + -14.33333333

Reorder the terms:
14.33333333 + -14.33333333 + -4.666666667X + X2 = 0 + -14.33333333

Combine like terms: 14.33333333 + -14.33333333 = 0.00000000
0.00000000 + -4.666666667X + X2 = 0 + -14.33333333
-4.666666667X + X2 = 0 + -14.33333333

Combine like terms: 0 + -14.33333333 = -14.33333333
-4.666666667X + X2 = -14.33333333

The X term is -4.666666667X.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667X + 5.444444448 + X2 = -14.33333333 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667X + X2 = -14.33333333 + 5.444444448

Combine like terms: -14.33333333 + 5.444444448 = -8.888888882
5.444444448 + -4.666666667X + X2 = -8.888888882

Factor a perfect square on the left side:
(X + -2.333333334)(X + -2.333333334) = -8.888888882

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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