0=6x^2-12x+8.5

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Solution for 0=6x^2-12x+8.5 equation: 


Simplifying
0 = 6x2 + -12x + 8.5

Reorder the terms:
0 = 8.5 + -12x + 6x2

Solving
0 = 8.5 + -12x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -8.5 = -8.5
-8.5 + 12x + -6x2 = 8.5 + -12x + 6x2 + -8.5 + 12x + -6x2

Reorder the terms:
-8.5 + 12x + -6x2 = 8.5 + -8.5 + -12x + 12x + 6x2 + -6x2

Combine like terms: 8.5 + -8.5 = 0.0
-8.5 + 12x + -6x2 = 0.0 + -12x + 12x + 6x2 + -6x2
-8.5 + 12x + -6x2 = -12x + 12x + 6x2 + -6x2

Combine like terms: -12x + 12x = 0
-8.5 + 12x + -6x2 = 0 + 6x2 + -6x2
-8.5 + 12x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8.5 + 12x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.416666667 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.416666667' to each side of the equation.
1.416666667 + -2x + -1.416666667 + x2 = 0 + -1.416666667

Reorder the terms:
1.416666667 + -1.416666667 + -2x + x2 = 0 + -1.416666667

Combine like terms: 1.416666667 + -1.416666667 = 0.000000000
0.000000000 + -2x + x2 = 0 + -1.416666667
-2x + x2 = 0 + -1.416666667

Combine like terms: 0 + -1.416666667 = -1.416666667
-2x + x2 = -1.416666667

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.416666667 + 1

Reorder the terms:
1 + -2x + x2 = -1.416666667 + 1

Combine like terms: -1.416666667 + 1 = -0.416666667
1 + -2x + x2 = -0.416666667

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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