12x^2+4x+9=0

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Solution for 12x^2+4x+9=0 equation:


Simplifying
12x2 + 4x + 9 = 0

Reorder the terms:
9 + 4x + 12x2 = 0

Solving
9 + 4x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
0.75 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.3333333333x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.3333333333x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.3333333333x + x2 = 0 + -0.75
0.3333333333x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.3333333333x + x2 = -0.75

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -0.75 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.75 + 0.02777777779

Combine like terms: -0.75 + 0.02777777779 = -0.72222222221
0.02777777779 + 0.3333333333x + x2 = -0.72222222221

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.72222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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