6x^2-8x+3=-4x+2

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Solution for 6x^2-8x+3=-4x+2 equation: 


Simplifying
6x2 + -8x + 3 = -4x + 2

Reorder the terms:
3 + -8x + 6x2 = -4x + 2

Reorder the terms:
3 + -8x + 6x2 = 2 + -4x

Solving
3 + -8x + 6x2 = 2 + -4x

Solving for variable 'x'.

Reorder the terms:
3 + -2 + -8x + 4x + 6x2 = 2 + -4x + -2 + 4x

Combine like terms: 3 + -2 = 1
1 + -8x + 4x + 6x2 = 2 + -4x + -2 + 4x

Combine like terms: -8x + 4x = -4x
1 + -4x + 6x2 = 2 + -4x + -2 + 4x

Reorder the terms:
1 + -4x + 6x2 = 2 + -2 + -4x + 4x

Combine like terms: 2 + -2 = 0
1 + -4x + 6x2 = 0 + -4x + 4x
1 + -4x + 6x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
1 + -4x + 6x2 = 0

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

Divide each side by '6'.
0.1666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.6666666667x + -0.1666666667 + x2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.6666666667x + x2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.1666666667
-0.6666666667x + x2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.6666666667x + x2 = -0.1666666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.1666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.1666666667 + 0.1111111112

Combine like terms: -0.1666666667 + 0.1111111112 = -0.0555555555
0.1111111112 + -0.6666666667x + x2 = -0.0555555555

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.0555555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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