(x^2+5)+(3x+8)+(5x^2+3x)=

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


Simplifying
(x2 + 5) + (3x + 8) + (5x2 + 3x) = 0

Reorder the terms:
(5 + x2) + (3x + 8) + (5x2 + 3x) = 0

Remove parenthesis around (5 + x2)
5 + x2 + (3x + 8) + (5x2 + 3x) = 0

Reorder the terms:
5 + x2 + (8 + 3x) + (5x2 + 3x) = 0

Remove parenthesis around (8 + 3x)
5 + x2 + 8 + 3x + (5x2 + 3x) = 0

Reorder the terms:
5 + x2 + 8 + 3x + (3x + 5x2) = 0

Remove parenthesis around (3x + 5x2)
5 + x2 + 8 + 3x + 3x + 5x2 = 0

Reorder the terms:
5 + 8 + 3x + 3x + x2 + 5x2 = 0

Combine like terms: 5 + 8 = 13
13 + 3x + 3x + x2 + 5x2 = 0

Combine like terms: 3x + 3x = 6x
13 + 6x + x2 + 5x2 = 0

Combine like terms: x2 + 5x2 = 6x2
13 + 6x + 6x2 = 0

Solving
13 + 6x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
2.166666667 + x + x2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + x + -2.166666667 + x2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + x + x2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + x + x2 = 0 + -2.166666667
x + x2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
x + x2 = -2.166666667

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 = -2.166666667 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -2.166666667 + 0.25

Combine like terms: -2.166666667 + 0.25 = -1.916666667
1.25 + x2 = -1.916666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.916666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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