9x^2+11x+48=0

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Solution for 9x^2+11x+48=0 equation:


Simplifying
9x2 + 11x + 48 = 0

Reorder the terms:
48 + 11x + 9x2 = 0

Solving
48 + 11x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
5.333333333 + 1.222222222x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + 1.222222222x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + 1.222222222x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + 1.222222222x + x2 = 0 + -5.333333333
1.222222222x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
1.222222222x + x2 = -5.333333333

The x term is 1.222222222x.  Take half its coefficient (0.611111111).
Square it (0.3734567900) and add it to both sides.

Add '0.3734567900' to each side of the equation.
1.222222222x + 0.3734567900 + x2 = -5.333333333 + 0.3734567900

Reorder the terms:
0.3734567900 + 1.222222222x + x2 = -5.333333333 + 0.3734567900

Combine like terms: -5.333333333 + 0.3734567900 = -4.959876543
0.3734567900 + 1.222222222x + x2 = -4.959876543

Factor a perfect square on the left side:
(x + 0.611111111)(x + 0.611111111) = -4.959876543

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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