-6x^2=-13x+11

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Solution for -6x^2=-13x+11 equation: 


Simplifying
-6x2 = -13x + 11

Reorder the terms:
-6x2 = 11 + -13x

Solving
-6x2 = 11 + -13x

Solving for variable 'x'.

Reorder the terms:
-11 + 13x + -6x2 = 11 + -13x + -11 + 13x

Reorder the terms:
-11 + 13x + -6x2 = 11 + -11 + -13x + 13x

Combine like terms: 11 + -11 = 0
-11 + 13x + -6x2 = 0 + -13x + 13x
-11 + 13x + -6x2 = -13x + 13x

Combine like terms: -13x + 13x = 0
-11 + 13x + -6x2 = 0

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

Divide each side by '-6'.
1.833333333 + -2.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + -2.166666667x + -1.833333333 + x2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + -2.166666667x + x2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + -2.166666667x + x2 = 0 + -1.833333333
-2.166666667x + x2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
-2.166666667x + x2 = -1.833333333

The x term is -2.166666667x.  Take half its coefficient (-1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
-2.166666667x + 1.173611113 + x2 = -1.833333333 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667x + x2 = -1.833333333 + 1.173611113

Combine like terms: -1.833333333 + 1.173611113 = -0.65972222
1.173611113 + -2.166666667x + x2 = -0.65972222

Factor a perfect square on the left side:
(x + -1.083333334)(x + -1.083333334) = -0.65972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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