12x^2-72x+119=

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Solution for 12x^2-72x+119= equation:


Simplifying
12x2 + -72x + 119 = 0

Reorder the terms:
119 + -72x + 12x2 = 0

Solving
119 + -72x + 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'.
9.916666667 + -6x + x2 = 0

Move the constant term to the right:

Add '-9.916666667' to each side of the equation.
9.916666667 + -6x + -9.916666667 + x2 = 0 + -9.916666667

Reorder the terms:
9.916666667 + -9.916666667 + -6x + x2 = 0 + -9.916666667

Combine like terms: 9.916666667 + -9.916666667 = 0.000000000
0.000000000 + -6x + x2 = 0 + -9.916666667
-6x + x2 = 0 + -9.916666667

Combine like terms: 0 + -9.916666667 = -9.916666667
-6x + x2 = -9.916666667

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -9.916666667 + 9

Reorder the terms:
9 + -6x + x2 = -9.916666667 + 9

Combine like terms: -9.916666667 + 9 = -0.916666667
9 + -6x + x2 = -0.916666667

Factor a perfect square on the left side:
(x + -3)(x + -3) = -0.916666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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