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

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


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

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

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

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

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

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

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

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

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

Solving
13 + 8x + 6x2 = x

Solving for variable 'x'.

Reorder the terms:
13 + 8x + -1x + 6x2 = x + -1x

Combine like terms: 8x + -1x = 7x
13 + 7x + 6x2 = x + -1x

Combine like terms: x + -1x = 0
13 + 7x + 6x2 = 0

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

Divide each side by '6'.
2.166666667 + 1.166666667x + x2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + 1.166666667x + -2.166666667 + x2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + 1.166666667x + x2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + 1.166666667x + x2 = 0 + -2.166666667
1.166666667x + x2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
1.166666667x + x2 = -2.166666667

The x term is 1.166666667x.  Take half its coefficient (0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
1.166666667x + 0.3402777780 + x2 = -2.166666667 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667x + x2 = -2.166666667 + 0.3402777780

Combine like terms: -2.166666667 + 0.3402777780 = -1.826388889
0.3402777780 + 1.166666667x + x2 = -1.826388889

Factor a perfect square on the left side:
(x + 0.5833333335)(x + 0.5833333335) = -1.826388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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