-6x^2+16x-33=0

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Solution for -6x^2+16x-33=0 equation:


Simplifying
-6x2 + 16x + -33 = 0

Reorder the terms:
-33 + 16x + -6x2 = 0

Solving
-33 + 16x + -6x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
5.5 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -2.666666667x + -5.5 + x2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -2.666666667x + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -2.666666667x + x2 = 0 + -5.5
-2.666666667x + x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-2.666666667x + x2 = -5.5

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -5.5 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -5.5 + 1.777777780

Combine like terms: -5.5 + 1.777777780 = -3.72222222
1.777777780 + -2.666666667x + x2 = -3.72222222

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -3.72222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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