3+2x+3x^2=0

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


Simplifying
3 + 2x + 3x2 = 0

Solving
3 + 2x + 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'.
1 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.6666666667x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 0.6666666667x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.6666666667x + x2 = 0 + -1
0.6666666667x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.6666666667x + x2 = -1

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 = -1 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -1 + 0.1111111112

Combine like terms: -1 + 0.1111111112 = -0.8888888888
0.1111111112 + 0.6666666667x + x2 = -0.8888888888

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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