(2x^2+4x+5)+(x^2-5x-3)=

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Solution for (2x^2+4x+5)+(x^2-5x-3)= equation:


Simplifying
(2x2 + 4x + 5) + (x2 + -5x + -3) = 0

Reorder the terms:
(5 + 4x + 2x2) + (x2 + -5x + -3) = 0

Remove parenthesis around (5 + 4x + 2x2)
5 + 4x + 2x2 + (x2 + -5x + -3) = 0

Reorder the terms:
5 + 4x + 2x2 + (-3 + -5x + x2) = 0

Remove parenthesis around (-3 + -5x + x2)
5 + 4x + 2x2 + -3 + -5x + x2 = 0

Reorder the terms:
5 + -3 + 4x + -5x + 2x2 + x2 = 0

Combine like terms: 5 + -3 = 2
2 + 4x + -5x + 2x2 + x2 = 0

Combine like terms: 4x + -5x = -1x
2 + -1x + 2x2 + x2 = 0

Combine like terms: 2x2 + x2 = 3x2
2 + -1x + 3x2 = 0

Solving
2 + -1x + 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'.
0.6666666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.3333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.6666666667
-0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.3333333333x + x2 = -0.6666666667

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 = -0.6666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.6666666667 + 0.02777777779

Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891
0.02777777779 + -0.3333333333x + x2 = -0.63888888891

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.63888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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