3x^2-32x+129=0

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Solution for 3x^2-32x+129=0 equation:


Simplifying
3x2 + -32x + 129 = 0

Reorder the terms:
129 + -32x + 3x2 = 0

Solving
129 + -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'.
43 + -10.66666667x + x2 = 0

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + -10.66666667x + -43 + x2 = 0 + -43

Reorder the terms:
43 + -43 + -10.66666667x + x2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -10.66666667x + x2 = 0 + -43
-10.66666667x + x2 = 0 + -43

Combine like terms: 0 + -43 = -43
-10.66666667x + x2 = -43

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 = -43 + 28.44444446

Reorder the terms:
28.44444446 + -10.66666667x + x2 = -43 + 28.44444446

Combine like terms: -43 + 28.44444446 = -14.55555554
28.44444446 + -10.66666667x + x2 = -14.55555554

Factor a perfect square on the left side:
(x + -5.333333335)(x + -5.333333335) = -14.55555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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