31x^2-30x+12=0

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Solution for 31x^2-30x+12=0 equation:


Simplifying
31x2 + -30x + 12 = 0

Reorder the terms:
12 + -30x + 31x2 = 0

Solving
12 + -30x + 31x2 = 0

Solving for variable 'x'.

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

Divide each side by '31'.
0.3870967742 + -0.9677419355x + x2 = 0

Move the constant term to the right:

Add '-0.3870967742' to each side of the equation.
0.3870967742 + -0.9677419355x + -0.3870967742 + x2 = 0 + -0.3870967742

Reorder the terms:
0.3870967742 + -0.3870967742 + -0.9677419355x + x2 = 0 + -0.3870967742

Combine like terms: 0.3870967742 + -0.3870967742 = 0.0000000000
0.0000000000 + -0.9677419355x + x2 = 0 + -0.3870967742
-0.9677419355x + x2 = 0 + -0.3870967742

Combine like terms: 0 + -0.3870967742 = -0.3870967742
-0.9677419355x + x2 = -0.3870967742

The x term is -0.9677419355x.  Take half its coefficient (-0.4838709678).
Square it (0.2341311135) and add it to both sides.

Add '0.2341311135' to each side of the equation.
-0.9677419355x + 0.2341311135 + x2 = -0.3870967742 + 0.2341311135

Reorder the terms:
0.2341311135 + -0.9677419355x + x2 = -0.3870967742 + 0.2341311135

Combine like terms: -0.3870967742 + 0.2341311135 = -0.1529656607
0.2341311135 + -0.9677419355x + x2 = -0.1529656607

Factor a perfect square on the left side:
(x + -0.4838709678)(x + -0.4838709678) = -0.1529656607

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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