(3x^2+6x+10)+(8x^2+9x)=

Solution for (3x^2+6x+10)+(8x^2+9x)= equation:

Simplifying
(3x2 + 6x + 10) + (8x2 + 9x) = 0

Reorder the terms:
(10 + 6x + 3x2) + (8x2 + 9x) = 0

Remove parenthesis around (10 + 6x + 3x2)
10 + 6x + 3x2 + (8x2 + 9x) = 0

Reorder the terms:
10 + 6x + 3x2 + (9x + 8x2) = 0

Remove parenthesis around (9x + 8x2)
10 + 6x + 3x2 + 9x + 8x2 = 0

Reorder the terms:
10 + 6x + 9x + 3x2 + 8x2 = 0

Combine like terms: 6x + 9x = 15x
10 + 15x + 3x2 + 8x2 = 0

Combine like terms: 3x2 + 8x2 = 11x2
10 + 15x + 11x2 = 0

Solving
10 + 15x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
0.9090909091 + 1.363636364x + x2 = 0

Move the constant term to the right:

Add '-0.9090909091' to each side of the equation.
0.9090909091 + 1.363636364x + -0.9090909091 + x2 = 0 + -0.9090909091

Reorder the terms:
0.9090909091 + -0.9090909091 + 1.363636364x + x2 = 0 + -0.9090909091

Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000
0.0000000000 + 1.363636364x + x2 = 0 + -0.9090909091
1.363636364x + x2 = 0 + -0.9090909091

Combine like terms: 0 + -0.9090909091 = -0.9090909091
1.363636364x + x2 = -0.9090909091

The x term is 1.363636364x.  Take half its coefficient (0.681818182).
Square it (0.4648760333) and add it to both sides.

Add '0.4648760333' to each side of the equation.
1.363636364x + 0.4648760333 + x2 = -0.9090909091 + 0.4648760333

Reorder the terms:
0.4648760333 + 1.363636364x + x2 = -0.9090909091 + 0.4648760333

Combine like terms: -0.9090909091 + 0.4648760333 = -0.4442148758
0.4648760333 + 1.363636364x + x2 = -0.4442148758

Factor a perfect square on the left side:
(x + 0.681818182)(x + 0.681818182) = -0.4442148758

Can't calculate square root of the right side.

The solution to this equation could not be determined.