3x^2+7x+9+3x+6=

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Solution for 3x^2+7x+9+3x+6= equation:


Simplifying
3x2 + 7x + 9 + 3x + 6 = 0

Reorder the terms:
9 + 6 + 7x + 3x + 3x2 = 0

Combine like terms: 9 + 6 = 15
15 + 7x + 3x + 3x2 = 0

Combine like terms: 7x + 3x = 10x
15 + 10x + 3x2 = 0

Solving
15 + 10x + 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 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 3.333333333x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 3.333333333x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3.333333333x + x2 = 0 + -5
3.333333333x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
3.333333333x + x2 = -5

The x term is 3.333333333x.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333x + 2.777777779 + x2 = -5 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = -5 + 2.777777779

Combine like terms: -5 + 2.777777779 = -2.222222221
2.777777779 + 3.333333333x + x2 = -2.222222221

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = -2.222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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