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

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

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

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

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

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

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

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

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

Combine like terms: x + x = 2x
3 + 2x + 3x2 + 2x2 = x

Combine like terms: 3x2 + 2x2 = 5x2
3 + 2x + 5x2 = x

Solving
3 + 2x + 5x2 = x

Solving for variable 'x'.

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

Combine like terms: 2x + -1x = 1x
3 + 1x + 5x2 = x + -1x

Combine like terms: x + -1x = 0
3 + 1x + 5x2 = 0

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

Divide each side by '5'.
0.6 + 0.2x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.2x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.2x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.2x + x2 = 0 + -0.6
0.2x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.2x + x2 = -0.6

The x term is 0.2x.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2x + 0.01 + x2 = -0.6 + 0.01

Reorder the terms:
0.01 + 0.2x + x2 = -0.6 + 0.01

Combine like terms: -0.6 + 0.01 = -0.59
0.01 + 0.2x + x2 = -0.59

Factor a perfect square on the left side:
(x + 0.1)(x + 0.1) = -0.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.