12x^2-5x+13=0

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Solution for 12x^2-5x+13=0 equation:


Simplifying
12x2 + -5x + 13 = 0

Reorder the terms:
13 + -5x + 12x2 = 0

Solving
13 + -5x + 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'.
1.083333333 + -0.4166666667x + x2 = 0

Move the constant term to the right:

Add '-1.083333333' to each side of the equation.
1.083333333 + -0.4166666667x + -1.083333333 + x2 = 0 + -1.083333333

Reorder the terms:
1.083333333 + -1.083333333 + -0.4166666667x + x2 = 0 + -1.083333333

Combine like terms: 1.083333333 + -1.083333333 = 0.000000000
0.000000000 + -0.4166666667x + x2 = 0 + -1.083333333
-0.4166666667x + x2 = 0 + -1.083333333

Combine like terms: 0 + -1.083333333 = -1.083333333
-0.4166666667x + x2 = -1.083333333

The x term is -0.4166666667x.  Take half its coefficient (-0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
-0.4166666667x + 0.04340277781 + x2 = -1.083333333 + 0.04340277781

Reorder the terms:
0.04340277781 + -0.4166666667x + x2 = -1.083333333 + 0.04340277781

Combine like terms: -1.083333333 + 0.04340277781 = -1.03993055519
0.04340277781 + -0.4166666667x + x2 = -1.03993055519

Factor a perfect square on the left side:
(x + -0.2083333334)(x + -0.2083333334) = -1.03993055519

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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