(2x^2+6x+10)+(4x^2+2x+3)=

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Solution for (2x^2+6x+10)+(4x^2+2x+3)= equation:


Simplifying
(2x2 + 6x + 10) + (4x2 + 2x + 3) = 0

Reorder the terms:
(10 + 6x + 2x2) + (4x2 + 2x + 3) = 0

Remove parenthesis around (10 + 6x + 2x2)
10 + 6x + 2x2 + (4x2 + 2x + 3) = 0

Reorder the terms:
10 + 6x + 2x2 + (3 + 2x + 4x2) = 0

Remove parenthesis around (3 + 2x + 4x2)
10 + 6x + 2x2 + 3 + 2x + 4x2 = 0

Reorder the terms:
10 + 3 + 6x + 2x + 2x2 + 4x2 = 0

Combine like terms: 10 + 3 = 13
13 + 6x + 2x + 2x2 + 4x2 = 0

Combine like terms: 6x + 2x = 8x
13 + 8x + 2x2 + 4x2 = 0

Combine like terms: 2x2 + 4x2 = 6x2
13 + 8x + 6x2 = 0

Solving
13 + 8x + 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 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + 1.333333333x + -2.166666667 + x2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + 1.333333333x + x2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -2.166666667
1.333333333x + x2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
1.333333333x + x2 = -2.166666667

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -2.166666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -2.166666667 + 0.4444444442

Combine like terms: -2.166666667 + 0.4444444442 = -1.7222222228
0.4444444442 + 1.333333333x + x2 = -1.7222222228

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -1.7222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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