9x^2+20x+364=0

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Solution for 9x^2+20x+364=0 equation:


Simplifying
9x2 + 20x + 364 = 0

Reorder the terms:
364 + 20x + 9x2 = 0

Solving
364 + 20x + 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'.
40.44444444 + 2.222222222x + x2 = 0

Move the constant term to the right:

Add '-40.44444444' to each side of the equation.
40.44444444 + 2.222222222x + -40.44444444 + x2 = 0 + -40.44444444

Reorder the terms:
40.44444444 + -40.44444444 + 2.222222222x + x2 = 0 + -40.44444444

Combine like terms: 40.44444444 + -40.44444444 = 0.00000000
0.00000000 + 2.222222222x + x2 = 0 + -40.44444444
2.222222222x + x2 = 0 + -40.44444444

Combine like terms: 0 + -40.44444444 = -40.44444444
2.222222222x + x2 = -40.44444444

The x term is 2.222222222x.  Take half its coefficient (1.111111111).
Square it (1.234567901) and add it to both sides.

Add '1.234567901' to each side of the equation.
2.222222222x + 1.234567901 + x2 = -40.44444444 + 1.234567901

Reorder the terms:
1.234567901 + 2.222222222x + x2 = -40.44444444 + 1.234567901

Combine like terms: -40.44444444 + 1.234567901 = -39.209876539
1.234567901 + 2.222222222x + x2 = -39.209876539

Factor a perfect square on the left side:
(x + 1.111111111)(x + 1.111111111) = -39.209876539

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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