12x^2-96x+527=0

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Solution for 12x^2-96x+527=0 equation:


Simplifying
12x2 + -96x + 527 = 0

Reorder the terms:
527 + -96x + 12x2 = 0

Solving
527 + -96x + 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 + -8x + x2 = 0

Move the constant term to the right:

Add '-43.91666667' to each side of the equation.
43.91666667 + -8x + -43.91666667 + x2 = 0 + -43.91666667

Reorder the terms:
43.91666667 + -43.91666667 + -8x + x2 = 0 + -43.91666667

Combine like terms: 43.91666667 + -43.91666667 = 0.00000000
0.00000000 + -8x + x2 = 0 + -43.91666667
-8x + x2 = 0 + -43.91666667

Combine like terms: 0 + -43.91666667 = -43.91666667
-8x + x2 = -43.91666667

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -43.91666667 + 16

Reorder the terms:
16 + -8x + x2 = -43.91666667 + 16

Combine like terms: -43.91666667 + 16 = -27.91666667
16 + -8x + x2 = -27.91666667

Factor a perfect square on the left side:
(x + -4)(x + -4) = -27.91666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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