(3x^5-7x^4+9x^2+12x)+(4x^5+15x^3+8x^2+-7x)=

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Solution for (3x^5-7x^4+9x^2+12x)+(4x^5+15x^3+8x^2+-7x)= equation: 


Simplifying
(3x5 + -7x4 + 9x2 + 12x) + (4x5 + 15x3 + 8x2 + -7x) = 0

Reorder the terms:
(12x + 9x2 + -7x4 + 3x5) + (4x5 + 15x3 + 8x2 + -7x) = 0

Remove parenthesis around (12x + 9x2 + -7x4 + 3x5)
12x + 9x2 + -7x4 + 3x5 + (4x5 + 15x3 + 8x2 + -7x) = 0

Reorder the terms:
12x + 9x2 + -7x4 + 3x5 + (-7x + 8x2 + 15x3 + 4x5) = 0

Remove parenthesis around (-7x + 8x2 + 15x3 + 4x5)
12x + 9x2 + -7x4 + 3x5 + -7x + 8x2 + 15x3 + 4x5 = 0

Reorder the terms:
12x + -7x + 9x2 + 8x2 + 15x3 + -7x4 + 3x5 + 4x5 = 0

Combine like terms: 12x + -7x = 5x
5x + 9x2 + 8x2 + 15x3 + -7x4 + 3x5 + 4x5 = 0

Combine like terms: 9x2 + 8x2 = 17x2
5x + 17x2 + 15x3 + -7x4 + 3x5 + 4x5 = 0

Combine like terms: 3x5 + 4x5 = 7x5
5x + 17x2 + 15x3 + -7x4 + 7x5 = 0

Solving
5x + 17x2 + 15x3 + -7x4 + 7x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 17x + 15x2 + -7x3 + 7x4) = 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 '(5 + 17x + 15x2 + -7x3 + 7x4)' equal to zero and attempt to solve:

Simplifying
5 + 17x + 15x2 + -7x3 + 7x4 = 0

Solving
5 + 17x + 15x2 + -7x3 + 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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