y^3(z^3-125)+125(z^3-125)=0

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Solution for y^3(z^3-125)+125(z^3-125)=0 equation: 


Simplifying
y3(z3 + -125) + 125(z3 + -125) = 0

Reorder the terms:
y3(-125 + z3) + 125(z3 + -125) = 0
(-125 * y3 + z3 * y3) + 125(z3 + -125) = 0
(-125y3 + y3z3) + 125(z3 + -125) = 0

Reorder the terms:
-125y3 + y3z3 + 125(-125 + z3) = 0
-125y3 + y3z3 + (-125 * 125 + z3 * 125) = 0
-125y3 + y3z3 + (-15625 + 125z3) = 0

Reorder the terms:
-15625 + -125y3 + y3z3 + 125z3 = 0

Solving
-15625 + -125y3 + y3z3 + 125z3 = 0

Solving for variable 'y'.

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

Add '15625' to each side of the equation.
-15625 + -125y3 + y3z3 + 15625 + 125z3 = 0 + 15625

Reorder the terms:
-15625 + 15625 + -125y3 + y3z3 + 125z3 = 0 + 15625

Combine like terms: -15625 + 15625 = 0
0 + -125y3 + y3z3 + 125z3 = 0 + 15625
-125y3 + y3z3 + 125z3 = 0 + 15625

Combine like terms: 0 + 15625 = 15625
-125y3 + y3z3 + 125z3 = 15625

Add '-125z3' to each side of the equation.
-125y3 + y3z3 + 125z3 + -125z3 = 15625 + -125z3

Combine like terms: 125z3 + -125z3 = 0
-125y3 + y3z3 + 0 = 15625 + -125z3
-125y3 + y3z3 = 15625 + -125z3

Reorder the terms:
-15625 + -125y3 + y3z3 + 125z3 = 15625 + -125z3 + -15625 + 125z3

Reorder the terms:
-15625 + -125y3 + y3z3 + 125z3 = 15625 + -15625 + -125z3 + 125z3

Combine like terms: 15625 + -15625 = 0
-15625 + -125y3 + y3z3 + 125z3 = 0 + -125z3 + 125z3
-15625 + -125y3 + y3z3 + 125z3 = -125z3 + 125z3

Combine like terms: -125z3 + 125z3 = 0
-15625 + -125y3 + y3z3 + 125z3 = 0

The solution to this equation could not be determined.

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