3x^2+2x+5=-8

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Solution for 3x^2+2x+5=-8 equation: 


Simplifying
3x2 + 2x + 5 = -8

Reorder the terms:
5 + 2x + 3x2 = -8

Solving
5 + 2x + 3x2 = -8

Solving for variable 'x'.

Reorder the terms:
5 + 8 + 2x + 3x2 = -8 + 8

Combine like terms: 5 + 8 = 13
13 + 2x + 3x2 = -8 + 8

Combine like terms: -8 + 8 = 0
13 + 2x + 3x2 = 0

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

Divide each side by '3'.
4.333333333 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + 0.6666666667x + -4.333333333 + x2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + 0.6666666667x + x2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -4.333333333
0.6666666667x + x2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
0.6666666667x + x2 = -4.333333333

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 = -4.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -4.333333333 + 0.1111111112

Combine like terms: -4.333333333 + 0.1111111112 = -4.2222222218
0.1111111112 + 0.6666666667x + x2 = -4.2222222218

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -4.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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