(3x^5+8x^3)-(7x^2-6x^3)=0

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Solution for (3x^5+8x^3)-(7x^2-6x^3)=0 equation: 


Simplifying
(3x5 + 8x3) + -1(7x2 + -6x3) = 0

Reorder the terms:
(8x3 + 3x5) + -1(7x2 + -6x3) = 0

Remove parenthesis around (8x3 + 3x5)
8x3 + 3x5 + -1(7x2 + -6x3) = 0
8x3 + 3x5 + (7x2 * -1 + -6x3 * -1) = 0
8x3 + 3x5 + (-7x2 + 6x3) = 0

Reorder the terms:
-7x2 + 8x3 + 6x3 + 3x5 = 0

Combine like terms: 8x3 + 6x3 = 14x3
-7x2 + 14x3 + 3x5 = 0

Solving
-7x2 + 14x3 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-7 + 14x + 3x3) = 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 '(-7 + 14x + 3x3)' equal to zero and attempt to solve:

Simplifying
-7 + 14x + 3x3 = 0

Solving
-7 + 14x + 3x3 = 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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