12+-8x+3x^2=0

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Solution for 12+-8x+3x^2=0 equation:


Simplifying
12 + -8x + 3x2 = 0

Solving
12 + -8x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
4 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2.666666667x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -2.666666667x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2.666666667x + x2 = 0 + -4
-2.666666667x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2.666666667x + x2 = -4

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -4 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -4 + 1.777777780

Combine like terms: -4 + 1.777777780 = -2.22222222
1.777777780 + -2.666666667x + x2 = -2.22222222

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -2.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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