3x^2+6x+16=0

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Solution for 3x^2+6x+16=0 equation:


Simplifying
3x2 + 6x + 16 = 0

Reorder the terms:
16 + 6x + 3x2 = 0

Solving
16 + 6x + 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'.
5.333333333 + 2x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + 2x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + 2x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + 2x + x2 = 0 + -5.333333333
2x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
2x + x2 = -5.333333333

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 = -5.333333333 + 1

Reorder the terms:
1 + 2x + x2 = -5.333333333 + 1

Combine like terms: -5.333333333 + 1 = -4.333333333
1 + 2x + x2 = -4.333333333

Factor a perfect square on the left side:
(x + 1)(x + 1) = -4.333333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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