6x^2-17x+13=20-32

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Solution for 6x^2-17x+13=20-32 equation: 


Simplifying
6x2 + -17x + 13 = 20 + -32

Reorder the terms:
13 + -17x + 6x2 = 20 + -32

Combine like terms: 20 + -32 = -12
13 + -17x + 6x2 = -12

Solving
13 + -17x + 6x2 = -12

Solving for variable 'x'.

Reorder the terms:
13 + 12 + -17x + 6x2 = -12 + 12

Combine like terms: 13 + 12 = 25
25 + -17x + 6x2 = -12 + 12

Combine like terms: -12 + 12 = 0
25 + -17x + 6x2 = 0

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

Divide each side by '6'.
4.166666667 + -2.833333333x + x2 = 0

Move the constant term to the right:

Add '-4.166666667' to each side of the equation.
4.166666667 + -2.833333333x + -4.166666667 + x2 = 0 + -4.166666667

Reorder the terms:
4.166666667 + -4.166666667 + -2.833333333x + x2 = 0 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + -2.833333333x + x2 = 0 + -4.166666667
-2.833333333x + x2 = 0 + -4.166666667

Combine like terms: 0 + -4.166666667 = -4.166666667
-2.833333333x + x2 = -4.166666667

The x term is -2.833333333x.  Take half its coefficient (-1.416666667).
Square it (2.006944445) and add it to both sides.

Add '2.006944445' to each side of the equation.
-2.833333333x + 2.006944445 + x2 = -4.166666667 + 2.006944445

Reorder the terms:
2.006944445 + -2.833333333x + x2 = -4.166666667 + 2.006944445

Combine like terms: -4.166666667 + 2.006944445 = -2.159722222
2.006944445 + -2.833333333x + x2 = -2.159722222

Factor a perfect square on the left side:
(x + -1.416666667)(x + -1.416666667) = -2.159722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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