(2x^2+4x)+(x^2+8)=

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Solution for (2x^2+4x)+(x^2+8)= equation:


Simplifying
(2x2 + 4x) + (x2 + 8) = 0

Reorder the terms:
(4x + 2x2) + (x2 + 8) = 0

Remove parenthesis around (4x + 2x2)
4x + 2x2 + (x2 + 8) = 0

Reorder the terms:
4x + 2x2 + (8 + x2) = 0

Remove parenthesis around (8 + x2)
4x + 2x2 + 8 + x2 = 0

Reorder the terms:
8 + 4x + 2x2 + x2 = 0

Combine like terms: 2x2 + x2 = 3x2
8 + 4x + 3x2 = 0

Solving
8 + 4x + 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 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 1.333333333x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 1.333333333x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -2.666666667
1.333333333x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
1.333333333x + x2 = -2.666666667

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 = -2.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -2.666666667 + 0.4444444442

Combine like terms: -2.666666667 + 0.4444444442 = -2.2222222228
0.4444444442 + 1.333333333x + x2 = -2.2222222228

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -2.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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