(3x)(3x)+3x=-8

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Solution for (3x)(3x)+3x=-8 equation: 


Simplifying
(3x)(3x) + 3x = -8

Remove parenthesis around (3x)
3x(3x) + 3x = -8

Remove parenthesis around (3x)
3x * 3x + 3x = -8

Reorder the terms for easier multiplication:
3 * 3x * x + 3x = -8

Multiply 3 * 3
9x * x + 3x = -8

Multiply x * x
9x2 + 3x = -8

Reorder the terms:
3x + 9x2 = -8

Solving
3x + 9x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 3x + 9x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 3x + 9x2 = 0

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

Divide each side by '9'.
0.8888888889 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.8888888889' to each side of the equation.
0.8888888889 + 0.3333333333x + -0.8888888889 + x2 = 0 + -0.8888888889

Reorder the terms:
0.8888888889 + -0.8888888889 + 0.3333333333x + x2 = 0 + -0.8888888889

Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + -0.8888888889
0.3333333333x + x2 = 0 + -0.8888888889

Combine like terms: 0 + -0.8888888889 = -0.8888888889
0.3333333333x + x2 = -0.8888888889

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -0.8888888889 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.8888888889 + 0.02777777779

Combine like terms: -0.8888888889 + 0.02777777779 = -0.86111111111
0.02777777779 + 0.3333333333x + x2 = -0.86111111111

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.86111111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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