12x^2+11x+3=0

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Solution for 12x^2+11x+3=0 equation:


Simplifying
12x2 + 11x + 3 = 0

Reorder the terms:
3 + 11x + 12x2 = 0

Solving
3 + 11x + 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'.
0.25 + 0.9166666667x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.9166666667x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.9166666667x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.9166666667x + x2 = 0 + -0.25
0.9166666667x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.9166666667x + x2 = -0.25

The x term is 0.9166666667x.  Take half its coefficient (0.4583333334).
Square it (0.2100694445) and add it to both sides.

Add '0.2100694445' to each side of the equation.
0.9166666667x + 0.2100694445 + x2 = -0.25 + 0.2100694445

Reorder the terms:
0.2100694445 + 0.9166666667x + x2 = -0.25 + 0.2100694445

Combine like terms: -0.25 + 0.2100694445 = -0.0399305555
0.2100694445 + 0.9166666667x + x2 = -0.0399305555

Factor a perfect square on the left side:
(x + 0.4583333334)(x + 0.4583333334) = -0.0399305555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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