12x^2-152x+527=0

Solution for 12x^2-152x+527=0 equation:

Simplifying
12x2 + -152x + 527 = 0

Reorder the terms:
527 + -152x + 12x2 = 0

Solving
527 + -152x + 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'.
43.91666667 + -12.66666667x + x2 = 0

Move the constant term to the right:

Add '-43.91666667' to each side of the equation.
43.91666667 + -12.66666667x + -43.91666667 + x2 = 0 + -43.91666667

Reorder the terms:
43.91666667 + -43.91666667 + -12.66666667x + x2 = 0 + -43.91666667

Combine like terms: 43.91666667 + -43.91666667 = 0.00000000
0.00000000 + -12.66666667x + x2 = 0 + -43.91666667
-12.66666667x + x2 = 0 + -43.91666667

Combine like terms: 0 + -43.91666667 = -43.91666667
-12.66666667x + x2 = -43.91666667

The x term is -12.66666667x.  Take half its coefficient (-6.333333335).
Square it (40.11111113) and add it to both sides.

Add '40.11111113' to each side of the equation.
-12.66666667x + 40.11111113 + x2 = -43.91666667 + 40.11111113

Reorder the terms:
40.11111113 + -12.66666667x + x2 = -43.91666667 + 40.11111113

Combine like terms: -43.91666667 + 40.11111113 = -3.80555554
40.11111113 + -12.66666667x + x2 = -3.80555554

Factor a perfect square on the left side:
(x + -6.333333335)(x + -6.333333335) = -3.80555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.