3x^2+2=6x-6

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Solution for 3x^2+2=6x-6 equation: 


Simplifying
3x2 + 2 = 6x + -6

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

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

Solving
2 + 3x2 = -6 + 6x

Solving for variable 'x'.

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

Combine like terms: 2 + 6 = 8
8 + -6x + 3x2 = -6 + 6x + 6 + -6x

Reorder the terms:
8 + -6x + 3x2 = -6 + 6 + 6x + -6x

Combine like terms: -6 + 6 = 0
8 + -6x + 3x2 = 0 + 6x + -6x
8 + -6x + 3x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -6x + 3x2 = 0

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

Divide each side by '3'.
2.666666667 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2x + x2 = 0 + -2.666666667
-2x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2x + x2 = -2.666666667

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 = -2.666666667 + 1

Reorder the terms:
1 + -2x + x2 = -2.666666667 + 1

Combine like terms: -2.666666667 + 1 = -1.666666667
1 + -2x + x2 = -1.666666667

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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