x^2+3x+1+2x^2+5x+9=

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Solution for x^2+3x+1+2x^2+5x+9= equation: 


Simplifying
x2 + 3x + 1 + 2x2 + 5x + 9 = 0

Reorder the terms:
1 + 9 + 3x + 5x + x2 + 2x2 = 0

Combine like terms: 1 + 9 = 10
10 + 3x + 5x + x2 + 2x2 = 0

Combine like terms: 3x + 5x = 8x
10 + 8x + x2 + 2x2 = 0

Combine like terms: x2 + 2x2 = 3x2
10 + 8x + 3x2 = 0

Solving
10 + 8x + 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'.
3.333333333 + 2.666666667x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 2.666666667x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 2.666666667x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 2.666666667x + x2 = 0 + -3.333333333
2.666666667x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
2.666666667x + x2 = -3.333333333

The x term is 2.666666667x.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667x + 1.777777780 + x2 = -3.333333333 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667x + x2 = -3.333333333 + 1.777777780

Combine like terms: -3.333333333 + 1.777777780 = -1.555555553
1.777777780 + 2.666666667x + x2 = -1.555555553

Factor a perfect square on the left side:
(x + 1.333333334)(x + 1.333333334) = -1.555555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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