42y^4-7y^3=

Solution for 42y^4-7y^3= equation:

Simplifying
42y4 + -7y3 = 0

Reorder the terms:
-7y3 + 42y4 = 0

Solving
-7y3 + 42y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7y3'.
7y3(-1 + 6y) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve:

Simplifying
y3 = 0

Solving
y3 = 0

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

Simplifying
y3 = 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 '(-1 + 6y)' equal to zero and attempt to solve:

Simplifying
-1 + 6y = 0

Solving
-1 + 6y = 0

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

Add '1' to each side of the equation.
-1 + 1 + 6y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6y = 0 + 1
6y = 0 + 1

Combine like terms: 0 + 1 = 1
6y = 1

Divide each side by '6'.
y = 0.1666666667

Simplifying
y = 0.1666666667
Solution
y = {0.1666666667}