x^7-3x^6=0

Solution for x^7-3x^6=0 equation:

Simplifying
x7 + -3x6 = 0

Reorder the terms:
-3x6 + x7 = 0

Solving
-3x6 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x6'.
x6(-3 + x) = 0

Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve:

Simplifying
x6 = 0

Solving
x6 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Solution
x = {3}