4y^4-256yz^3=0

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Solution for 4y^4-256yz^3=0 equation:


Simplifying
4y4 + -256yz3 = 0

Reorder the terms:
-256yz3 + 4y4 = 0

Solving
-256yz3 + 4y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-64z3 + y3) = 0

Ignore the factor 4.

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 '(-64z3 + y3)' equal to zero and attempt to solve: Simplifying -64z3 + y3 = 0 Reorder the terms: y3 + -64z3 = 0 Solving y3 + -64z3 = 0 Move all terms containing y to the left, all other terms to the right. Add '64z3' to each side of the equation. y3 + -64z3 + 64z3 = 0 + 64z3 Combine like terms: -64z3 + 64z3 = 0 y3 + 0 = 0 + 64z3 y3 = 0 + 64z3 Remove the zero: y3 = 64z3 Simplifying y3 = 64z3 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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