3x^2-44x+162=0

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Solution for 3x^2-44x+162=0 equation:


Simplifying
3x2 + -44x + 162 = 0

Reorder the terms:
162 + -44x + 3x2 = 0

Solving
162 + -44x + 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'.
54 + -14.66666667x + x2 = 0

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -14.66666667x + -54 + x2 = 0 + -54

Reorder the terms:
54 + -54 + -14.66666667x + x2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -14.66666667x + x2 = 0 + -54
-14.66666667x + x2 = 0 + -54

Combine like terms: 0 + -54 = -54
-14.66666667x + x2 = -54

The x term is -14.66666667x.  Take half its coefficient (-7.333333335).
Square it (53.77777780) and add it to both sides.

Add '53.77777780' to each side of the equation.
-14.66666667x + 53.77777780 + x2 = -54 + 53.77777780

Reorder the terms:
53.77777780 + -14.66666667x + x2 = -54 + 53.77777780

Combine like terms: -54 + 53.77777780 = -0.2222222
53.77777780 + -14.66666667x + x2 = -0.2222222

Factor a perfect square on the left side:
(x + -7.333333335)(x + -7.333333335) = -0.2222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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