(3x^2+1)+(3x+7)=

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Solution for (3x^2+1)+(3x+7)= equation: 


Simplifying
(3x2 + 1) + (3x + 7) = 0

Reorder the terms:
(1 + 3x2) + (3x + 7) = 0

Remove parenthesis around (1 + 3x2)
1 + 3x2 + (3x + 7) = 0

Reorder the terms:
1 + 3x2 + (7 + 3x) = 0

Remove parenthesis around (7 + 3x)
1 + 3x2 + 7 + 3x = 0

Reorder the terms:
1 + 7 + 3x + 3x2 = 0

Combine like terms: 1 + 7 = 8
8 + 3x + 3x2 = 0

Solving
8 + 3x + 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'.
2.666666667 + x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + x + x2 = 0 + -2.666666667
x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
x + x2 = -2.666666667

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -2.666666667 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -2.666666667 + 0.25

Combine like terms: -2.666666667 + 0.25 = -2.416666667
1.25 + x2 = -2.416666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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