6x^2-2x+9=x+2

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Solution for 6x^2-2x+9=x+2 equation: 


Simplifying
6x2 + -2x + 9 = x + 2

Reorder the terms:
9 + -2x + 6x2 = x + 2

Reorder the terms:
9 + -2x + 6x2 = 2 + x

Solving
9 + -2x + 6x2 = 2 + x

Solving for variable 'x'.

Reorder the terms:
9 + -2 + -2x + -1x + 6x2 = 2 + x + -2 + -1x

Combine like terms: 9 + -2 = 7
7 + -2x + -1x + 6x2 = 2 + x + -2 + -1x

Combine like terms: -2x + -1x = -3x
7 + -3x + 6x2 = 2 + x + -2 + -1x

Reorder the terms:
7 + -3x + 6x2 = 2 + -2 + x + -1x

Combine like terms: 2 + -2 = 0
7 + -3x + 6x2 = 0 + x + -1x
7 + -3x + 6x2 = x + -1x

Combine like terms: x + -1x = 0
7 + -3x + 6x2 = 0

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

Divide each side by '6'.
1.166666667 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -0.5x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -0.5x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -0.5x + x2 = 0 + -1.166666667
-0.5x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-0.5x + x2 = -1.166666667

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -1.166666667 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1.166666667 + 0.0625

Combine like terms: -1.166666667 + 0.0625 = -1.104166667
0.0625 + -0.5x + x2 = -1.104166667

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -1.104166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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