33x^2-40x+189=0

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Solution for 33x^2-40x+189=0 equation: 


Simplifying
33x2 + -40x + 189 = 0

Reorder the terms:
189 + -40x + 33x2 = 0

Solving
189 + -40x + 33x2 = 0

Solving for variable 'x'.

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

Divide each side by '33'.
5.727272727 + -1.212121212x + x2 = 0

Move the constant term to the right:

Add '-5.727272727' to each side of the equation.
5.727272727 + -1.212121212x + -5.727272727 + x2 = 0 + -5.727272727

Reorder the terms:
5.727272727 + -5.727272727 + -1.212121212x + x2 = 0 + -5.727272727

Combine like terms: 5.727272727 + -5.727272727 = 0.000000000
0.000000000 + -1.212121212x + x2 = 0 + -5.727272727
-1.212121212x + x2 = 0 + -5.727272727

Combine like terms: 0 + -5.727272727 = -5.727272727
-1.212121212x + x2 = -5.727272727

The x term is -1.212121212x.  Take half its coefficient (-0.606060606).
Square it (0.3673094581) and add it to both sides.

Add '0.3673094581' to each side of the equation.
-1.212121212x + 0.3673094581 + x2 = -5.727272727 + 0.3673094581

Reorder the terms:
0.3673094581 + -1.212121212x + x2 = -5.727272727 + 0.3673094581

Combine like terms: -5.727272727 + 0.3673094581 = -5.3599632689
0.3673094581 + -1.212121212x + x2 = -5.3599632689

Factor a perfect square on the left side:
(x + -0.606060606)(x + -0.606060606) = -5.3599632689

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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