11x^2+48x+540=0

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Solution for 11x^2+48x+540=0 equation:


Simplifying
11x2 + 48x + 540 = 0

Reorder the terms:
540 + 48x + 11x2 = 0

Solving
540 + 48x + 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'.
49.09090909 + 4.363636364x + x2 = 0

Move the constant term to the right:

Add '-49.09090909' to each side of the equation.
49.09090909 + 4.363636364x + -49.09090909 + x2 = 0 + -49.09090909

Reorder the terms:
49.09090909 + -49.09090909 + 4.363636364x + x2 = 0 + -49.09090909

Combine like terms: 49.09090909 + -49.09090909 = 0.00000000
0.00000000 + 4.363636364x + x2 = 0 + -49.09090909
4.363636364x + x2 = 0 + -49.09090909

Combine like terms: 0 + -49.09090909 = -49.09090909
4.363636364x + x2 = -49.09090909

The x term is 4.363636364x.  Take half its coefficient (2.181818182).
Square it (4.760330579) and add it to both sides.

Add '4.760330579' to each side of the equation.
4.363636364x + 4.760330579 + x2 = -49.09090909 + 4.760330579

Reorder the terms:
4.760330579 + 4.363636364x + x2 = -49.09090909 + 4.760330579

Combine like terms: -49.09090909 + 4.760330579 = -44.330578511
4.760330579 + 4.363636364x + x2 = -44.330578511

Factor a perfect square on the left side:
(x + 2.181818182)(x + 2.181818182) = -44.330578511

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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