(10x^5-x^4+2x^2+3x)-(-3x^4-6x^3+3x^2-7x)=

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Solution for (10x^5-x^4+2x^2+3x)-(-3x^4-6x^3+3x^2-7x)= equation: 


Simplifying
(10x5 + -1x4 + 2x2 + 3x) + -1(-3x4 + -6x3 + 3x2 + -7x) = 0

Reorder the terms:
(3x + 2x2 + -1x4 + 10x5) + -1(-3x4 + -6x3 + 3x2 + -7x) = 0

Remove parenthesis around (3x + 2x2 + -1x4 + 10x5)
3x + 2x2 + -1x4 + 10x5 + -1(-3x4 + -6x3 + 3x2 + -7x) = 0

Reorder the terms:
3x + 2x2 + -1x4 + 10x5 + -1(-7x + 3x2 + -6x3 + -3x4) = 0
3x + 2x2 + -1x4 + 10x5 + (-7x * -1 + 3x2 * -1 + -6x3 * -1 + -3x4 * -1) = 0
3x + 2x2 + -1x4 + 10x5 + (7x + -3x2 + 6x3 + 3x4) = 0

Reorder the terms:
3x + 7x + 2x2 + -3x2 + 6x3 + -1x4 + 3x4 + 10x5 = 0

Combine like terms: 3x + 7x = 10x
10x + 2x2 + -3x2 + 6x3 + -1x4 + 3x4 + 10x5 = 0

Combine like terms: 2x2 + -3x2 = -1x2
10x + -1x2 + 6x3 + -1x4 + 3x4 + 10x5 = 0

Combine like terms: -1x4 + 3x4 = 2x4
10x + -1x2 + 6x3 + 2x4 + 10x5 = 0

Solving
10x + -1x2 + 6x3 + 2x4 + 10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + -1x + 6x2 + 2x3 + 10x4) = 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 '(10 + -1x + 6x2 + 2x3 + 10x4)' equal to zero and attempt to solve:

Simplifying
10 + -1x + 6x2 + 2x3 + 10x4 = 0

Solving
10 + -1x + 6x2 + 2x3 + 10x4 = 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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