(9x^3-4x^2+2x)+(7x^3+7x^2-11x)=

Solution for (9x^3-4x^2+2x)+(7x^3+7x^2-11x)= equation:

Simplifying
(9x3 + -4x2 + 2x) + (7x3 + 7x2 + -11x) = 0

Reorder the terms:
(2x + -4x2 + 9x3) + (7x3 + 7x2 + -11x) = 0

Remove parenthesis around (2x + -4x2 + 9x3)
2x + -4x2 + 9x3 + (7x3 + 7x2 + -11x) = 0

Reorder the terms:
2x + -4x2 + 9x3 + (-11x + 7x2 + 7x3) = 0

Remove parenthesis around (-11x + 7x2 + 7x3)
2x + -4x2 + 9x3 + -11x + 7x2 + 7x3 = 0

Reorder the terms:
2x + -11x + -4x2 + 7x2 + 9x3 + 7x3 = 0

Combine like terms: 2x + -11x = -9x
-9x + -4x2 + 7x2 + 9x3 + 7x3 = 0

Combine like terms: -4x2 + 7x2 = 3x2
-9x + 3x2 + 9x3 + 7x3 = 0

Combine like terms: 9x3 + 7x3 = 16x3
-9x + 3x2 + 16x3 = 0

Solving
-9x + 3x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + 3x + 16x2) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(-9 + 3x + 16x2)' equal to zero and attempt to solve:

Simplifying
-9 + 3x + 16x2 = 0

Solving
-9 + 3x + 16x2 = 0

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

Divide each side by '16'.
-0.5625 + 0.1875x + x2 = 0

Move the constant term to the right:

Add '0.5625' to each side of the equation.
-0.5625 + 0.1875x + 0.5625 + x2 = 0 + 0.5625

Reorder the terms:
-0.5625 + 0.5625 + 0.1875x + x2 = 0 + 0.5625

Combine like terms: -0.5625 + 0.5625 = 0.0000
0.0000 + 0.1875x + x2 = 0 + 0.5625
0.1875x + x2 = 0 + 0.5625

Combine like terms: 0 + 0.5625 = 0.5625
0.1875x + x2 = 0.5625

The x term is 0.1875x.  Take half its coefficient (0.09375).
Square it (0.0087890625) and add it to both sides.

Add '0.0087890625' to each side of the equation.
0.1875x + 0.0087890625 + x2 = 0.5625 + 0.0087890625

Reorder the terms:
0.0087890625 + 0.1875x + x2 = 0.5625 + 0.0087890625

Combine like terms: 0.5625 + 0.0087890625 = 0.5712890625
0.0087890625 + 0.1875x + x2 = 0.5712890625

Factor a perfect square on the left side:
(x + 0.09375)(x + 0.09375) = 0.5712890625

Calculate the square root of the right side: 0.755836664

Break this problem into two subproblems by setting 
(x + 0.09375) equal to 0.755836664 and -0.755836664.

Subproblem 1
x + 0.09375 = 0.755836664

Simplifying
x + 0.09375 = 0.755836664

Reorder the terms:
0.09375 + x = 0.755836664

Solving
0.09375 + x = 0.755836664

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.09375' to each side of the equation.
0.09375 + -0.09375 + x = 0.755836664 + -0.09375

Combine like terms: 0.09375 + -0.09375 = 0.00000
0.00000 + x = 0.755836664 + -0.09375
x = 0.755836664 + -0.09375

Combine like terms: 0.755836664 + -0.09375 = 0.662086664
x = 0.662086664

Simplifying
x = 0.662086664

Subproblem 2
x + 0.09375 = -0.755836664

Simplifying
x + 0.09375 = -0.755836664

Reorder the terms:
0.09375 + x = -0.755836664

Solving
0.09375 + x = -0.755836664

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.09375' to each side of the equation.
0.09375 + -0.09375 + x = -0.755836664 + -0.09375

Combine like terms: 0.09375 + -0.09375 = 0.00000
0.00000 + x = -0.755836664 + -0.09375
x = -0.755836664 + -0.09375

Combine like terms: -0.755836664 + -0.09375 = -0.849586664
x = -0.849586664

Simplifying
x = -0.849586664

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.662086664, -0.849586664}
Solution
x = {0, 0.662086664, -0.849586664}