9x^2+12x+68=0

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Solution for 9x^2+12x+68=0 equation:


Simplifying
9x2 + 12x + 68 = 0

Reorder the terms:
68 + 12x + 9x2 = 0

Solving
68 + 12x + 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'.
7.555555556 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-7.555555556' to each side of the equation.
7.555555556 + 1.333333333x + -7.555555556 + x2 = 0 + -7.555555556

Reorder the terms:
7.555555556 + -7.555555556 + 1.333333333x + x2 = 0 + -7.555555556

Combine like terms: 7.555555556 + -7.555555556 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -7.555555556
1.333333333x + x2 = 0 + -7.555555556

Combine like terms: 0 + -7.555555556 = -7.555555556
1.333333333x + x2 = -7.555555556

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -7.555555556 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -7.555555556 + 0.4444444442

Combine like terms: -7.555555556 + 0.4444444442 = -7.1111111118
0.4444444442 + 1.333333333x + x2 = -7.1111111118

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -7.1111111118

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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