11x^2-40x+1815=0

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Solution for 11x^2-40x+1815=0 equation:


Simplifying
11x2 + -40x + 1815 = 0

Reorder the terms:
1815 + -40x + 11x2 = 0

Solving
1815 + -40x + 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'.
165 + -3.636363636x + x2 = 0

Move the constant term to the right:

Add '-165' to each side of the equation.
165 + -3.636363636x + -165 + x2 = 0 + -165

Reorder the terms:
165 + -165 + -3.636363636x + x2 = 0 + -165

Combine like terms: 165 + -165 = 0
0 + -3.636363636x + x2 = 0 + -165
-3.636363636x + x2 = 0 + -165

Combine like terms: 0 + -165 = -165
-3.636363636x + x2 = -165

The x term is -3.636363636x.  Take half its coefficient (-1.818181818).
Square it (3.305785123) and add it to both sides.

Add '3.305785123' to each side of the equation.
-3.636363636x + 3.305785123 + x2 = -165 + 3.305785123

Reorder the terms:
3.305785123 + -3.636363636x + x2 = -165 + 3.305785123

Combine like terms: -165 + 3.305785123 = -161.694214877
3.305785123 + -3.636363636x + x2 = -161.694214877

Factor a perfect square on the left side:
(x + -1.818181818)(x + -1.818181818) = -161.694214877

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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