(x^5-3x^4)-(2x^3+6x^2)=0

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Solution for (x^5-3x^4)-(2x^3+6x^2)=0 equation: 


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

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

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

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

Reorder the terms:
-6x2 + -2x3 + -3x4 + x5 = 0

Solving
-6x2 + -2x3 + -3x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-6 + -2x + -3x2 + x3) = 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 + -2x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-6 + -2x + -3x2 + x3 = 0

Solving
-6 + -2x + -3x2 + x3 = 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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