9x^2+66x+137=0

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Solution for 9x^2+66x+137=0 equation:


Simplifying
9x2 + 66x + 137 = 0

Reorder the terms:
137 + 66x + 9x2 = 0

Solving
137 + 66x + 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'.
15.22222222 + 7.333333333x + x2 = 0

Move the constant term to the right:

Add '-15.22222222' to each side of the equation.
15.22222222 + 7.333333333x + -15.22222222 + x2 = 0 + -15.22222222

Reorder the terms:
15.22222222 + -15.22222222 + 7.333333333x + x2 = 0 + -15.22222222

Combine like terms: 15.22222222 + -15.22222222 = 0.00000000
0.00000000 + 7.333333333x + x2 = 0 + -15.22222222
7.333333333x + x2 = 0 + -15.22222222

Combine like terms: 0 + -15.22222222 = -15.22222222
7.333333333x + x2 = -15.22222222

The x term is 7.333333333x.  Take half its coefficient (3.666666667).
Square it (13.44444445) and add it to both sides.

Add '13.44444445' to each side of the equation.
7.333333333x + 13.44444445 + x2 = -15.22222222 + 13.44444445

Reorder the terms:
13.44444445 + 7.333333333x + x2 = -15.22222222 + 13.44444445

Combine like terms: -15.22222222 + 13.44444445 = -1.77777777
13.44444445 + 7.333333333x + x2 = -1.77777777

Factor a perfect square on the left side:
(x + 3.666666667)(x + 3.666666667) = -1.77777777

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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