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

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


Simplifying
-3x2 + 3x + -8 = 0

Reorder the terms:
-8 + 3x + -3x2 = 0

Solving
-8 + 3x + -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'.
2.666666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -1x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -1x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -1x + x2 = 0 + -2.666666667
-1x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-1x + x2 = -2.666666667

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.666666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.666666667 + 0.25

Combine like terms: -2.666666667 + 0.25 = -2.416666667
0.25 + -1x + x2 = -2.416666667

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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