(7x^3+10x^2+11x^5+5x^4)+(-10x^3-2x^4-12x^5-4x^2)=

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Solution for (7x^3+10x^2+11x^5+5x^4)+(-10x^3-2x^4-12x^5-4x^2)= equation: 


Simplifying
(7x3 + 10x2 + 11x5 + 5x4) + (-10x3 + -2x4 + -12x5 + -4x2) = 0

Reorder the terms:
(10x2 + 7x3 + 5x4 + 11x5) + (-10x3 + -2x4 + -12x5 + -4x2) = 0

Remove parenthesis around (10x2 + 7x3 + 5x4 + 11x5)
10x2 + 7x3 + 5x4 + 11x5 + (-10x3 + -2x4 + -12x5 + -4x2) = 0

Reorder the terms:
10x2 + 7x3 + 5x4 + 11x5 + (-4x2 + -10x3 + -2x4 + -12x5) = 0

Remove parenthesis around (-4x2 + -10x3 + -2x4 + -12x5)
10x2 + 7x3 + 5x4 + 11x5 + -4x2 + -10x3 + -2x4 + -12x5 = 0

Reorder the terms:
10x2 + -4x2 + 7x3 + -10x3 + 5x4 + -2x4 + 11x5 + -12x5 = 0

Combine like terms: 10x2 + -4x2 = 6x2
6x2 + 7x3 + -10x3 + 5x4 + -2x4 + 11x5 + -12x5 = 0

Combine like terms: 7x3 + -10x3 = -3x3
6x2 + -3x3 + 5x4 + -2x4 + 11x5 + -12x5 = 0

Combine like terms: 5x4 + -2x4 = 3x4
6x2 + -3x3 + 3x4 + 11x5 + -12x5 = 0

Combine like terms: 11x5 + -12x5 = -1x5
6x2 + -3x3 + 3x4 + -1x5 = 0

Solving
6x2 + -3x3 + 3x4 + -1x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(6 + -3x + 3x2 + -1x3) = 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 '(6 + -3x + 3x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
6 + -3x + 3x2 + -1x3 = 0

Solving
6 + -3x + 3x2 + -1x3 = 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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