7y^5-28yz^6=0

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Solution for 7y^5-28yz^6=0 equation: 


Simplifying
7y5 + -28yz6 = 0

Reorder the terms:
-28yz6 + 7y5 = 0

Solving
-28yz6 + 7y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7y'.
7y(-4z6 + y4) = 0

Factor a difference between two squares.
7y((2z3 + y2)(-2z3 + y2)) = 0

Ignore the factor 7.

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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(2z3 + y2)' equal to zero and attempt to solve:

Simplifying
2z3 + y2 = 0

Reorder the terms:
y2 + 2z3 = 0

Solving
y2 + 2z3 = 0

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

Add '-2z3' to each side of the equation.
y2 + 2z3 + -2z3 = 0 + -2z3

Combine like terms: 2z3 + -2z3 = 0
y2 + 0 = 0 + -2z3
y2 = 0 + -2z3
Remove the zero:
y2 = -2z3

Simplifying
y2 = -2z3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-2z3 + y2)' equal to zero and attempt to solve:

Simplifying
-2z3 + y2 = 0

Reorder the terms:
y2 + -2z3 = 0

Solving
y2 + -2z3 = 0

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

Add '2z3' to each side of the equation.
y2 + -2z3 + 2z3 = 0 + 2z3

Combine like terms: -2z3 + 2z3 = 0
y2 + 0 = 0 + 2z3
y2 = 0 + 2z3
Remove the zero:
y2 = 2z3

Simplifying
y2 = 2z3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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