-11x^2+33x-40=0

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Solution for -11x^2+33x-40=0 equation:


Simplifying
-11x2 + 33x + -40 = 0

Reorder the terms:
-40 + 33x + -11x2 = 0

Solving
-40 + 33x + -11x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
3.636363636 + -3x + x2 = 0

Move the constant term to the right:

Add '-3.636363636' to each side of the equation.
3.636363636 + -3x + -3.636363636 + x2 = 0 + -3.636363636

Reorder the terms:
3.636363636 + -3.636363636 + -3x + x2 = 0 + -3.636363636

Combine like terms: 3.636363636 + -3.636363636 = 0.000000000
0.000000000 + -3x + x2 = 0 + -3.636363636
-3x + x2 = 0 + -3.636363636

Combine like terms: 0 + -3.636363636 = -3.636363636
-3x + x2 = -3.636363636

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -3.636363636 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -3.636363636 + 2.25

Combine like terms: -3.636363636 + 2.25 = -1.386363636
2.25 + -3x + x2 = -1.386363636

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -1.386363636

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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