3X^2-32X+134=0

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Solution for 3X^2-32X+134=0 equation:


Simplifying
3X2 + -32X + 134 = 0

Reorder the terms:
134 + -32X + 3X2 = 0

Solving
134 + -32X + 3X2 = 0

Solving for variable 'X'.

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

Divide each side by '3'.
44.66666667 + -10.66666667X + X2 = 0

Move the constant term to the right:

Add '-44.66666667' to each side of the equation.
44.66666667 + -10.66666667X + -44.66666667 + X2 = 0 + -44.66666667

Reorder the terms:
44.66666667 + -44.66666667 + -10.66666667X + X2 = 0 + -44.66666667

Combine like terms: 44.66666667 + -44.66666667 = 0.00000000
0.00000000 + -10.66666667X + X2 = 0 + -44.66666667
-10.66666667X + X2 = 0 + -44.66666667

Combine like terms: 0 + -44.66666667 = -44.66666667
-10.66666667X + X2 = -44.66666667

The X term is -10.66666667X.  Take half its coefficient (-5.333333335).
Square it (28.44444446) and add it to both sides.

Add '28.44444446' to each side of the equation.
-10.66666667X + 28.44444446 + X2 = -44.66666667 + 28.44444446

Reorder the terms:
28.44444446 + -10.66666667X + X2 = -44.66666667 + 28.44444446

Combine like terms: -44.66666667 + 28.44444446 = -16.22222221
28.44444446 + -10.66666667X + X2 = -16.22222221

Factor a perfect square on the left side:
(X + -5.333333335)(X + -5.333333335) = -16.22222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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