7x^4-42x^3=0

Solution for 7x^4-42x^3=0 equation:

Simplifying
7x4 + -42x3 = 0

Reorder the terms:
-42x3 + 7x4 = 0

Solving
-42x3 + 7x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x3'.
7x3(-6 + x) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 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 '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {6}