(7x^6-x^3+5x^2-9)+(2x^5+5x^3+5x^2+9)=

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Solution for (7x^6-x^3+5x^2-9)+(2x^5+5x^3+5x^2+9)= equation: 


Simplifying
(7x6 + -1x3 + 5x2 + -9) + (2x5 + 5x3 + 5x2 + 9) = 0

Reorder the terms:
(-9 + 5x2 + -1x3 + 7x6) + (2x5 + 5x3 + 5x2 + 9) = 0

Remove parenthesis around (-9 + 5x2 + -1x3 + 7x6)
-9 + 5x2 + -1x3 + 7x6 + (2x5 + 5x3 + 5x2 + 9) = 0

Reorder the terms:
-9 + 5x2 + -1x3 + 7x6 + (9 + 5x2 + 5x3 + 2x5) = 0

Remove parenthesis around (9 + 5x2 + 5x3 + 2x5)
-9 + 5x2 + -1x3 + 7x6 + 9 + 5x2 + 5x3 + 2x5 = 0

Reorder the terms:
-9 + 9 + 5x2 + 5x2 + -1x3 + 5x3 + 2x5 + 7x6 = 0

Combine like terms: -9 + 9 = 0
0 + 5x2 + 5x2 + -1x3 + 5x3 + 2x5 + 7x6 = 0
5x2 + 5x2 + -1x3 + 5x3 + 2x5 + 7x6 = 0

Combine like terms: 5x2 + 5x2 = 10x2
10x2 + -1x3 + 5x3 + 2x5 + 7x6 = 0

Combine like terms: -1x3 + 5x3 = 4x3
10x2 + 4x3 + 2x5 + 7x6 = 0

Solving
10x2 + 4x3 + 2x5 + 7x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(10 + 4x + 2x3 + 7x4) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(10 + 4x + 2x3 + 7x4)' equal to zero and attempt to solve:

Simplifying
10 + 4x + 2x3 + 7x4 = 0

Solving
10 + 4x + 2x3 + 7x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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