12x^2-11x+5=0

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Solution for 12x^2-11x+5=0 equation:


Simplifying
12x2 + -11x + 5 = 0

Reorder the terms:
5 + -11x + 12x2 = 0

Solving
5 + -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'.
0.4166666667 + -0.9166666667x + x2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + -0.9166666667x + -0.4166666667 + x2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + -0.9166666667x + x2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + -0.9166666667x + x2 = 0 + -0.4166666667
-0.9166666667x + x2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
-0.9166666667x + x2 = -0.4166666667

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 = -0.4166666667 + 0.2100694445

Reorder the terms:
0.2100694445 + -0.9166666667x + x2 = -0.4166666667 + 0.2100694445

Combine like terms: -0.4166666667 + 0.2100694445 = -0.2065972222
0.2100694445 + -0.9166666667x + x2 = -0.2065972222

Factor a perfect square on the left side:
(x + -0.4583333334)(x + -0.4583333334) = -0.2065972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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