9x^2+80x+760=0

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Solution for 9x^2+80x+760=0 equation:


Simplifying
9x2 + 80x + 760 = 0

Reorder the terms:
760 + 80x + 9x2 = 0

Solving
760 + 80x + 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'.
84.44444444 + 8.888888889x + x2 = 0

Move the constant term to the right:

Add '-84.44444444' to each side of the equation.
84.44444444 + 8.888888889x + -84.44444444 + x2 = 0 + -84.44444444

Reorder the terms:
84.44444444 + -84.44444444 + 8.888888889x + x2 = 0 + -84.44444444

Combine like terms: 84.44444444 + -84.44444444 = 0.00000000
0.00000000 + 8.888888889x + x2 = 0 + -84.44444444
8.888888889x + x2 = 0 + -84.44444444

Combine like terms: 0 + -84.44444444 = -84.44444444
8.888888889x + x2 = -84.44444444

The x term is 8.888888889x.  Take half its coefficient (4.444444445).
Square it (19.75308642) and add it to both sides.

Add '19.75308642' to each side of the equation.
8.888888889x + 19.75308642 + x2 = -84.44444444 + 19.75308642

Reorder the terms:
19.75308642 + 8.888888889x + x2 = -84.44444444 + 19.75308642

Combine like terms: -84.44444444 + 19.75308642 = -64.69135802
19.75308642 + 8.888888889x + x2 = -64.69135802

Factor a perfect square on the left side:
(x + 4.444444445)(x + 4.444444445) = -64.69135802

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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