200y^2z^5-242y^4z^3=0

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Solution for 200y^2z^5-242y^4z^3=0 equation: 


Simplifying
200y2z5 + -242y4z3 = 0

Solving
200y2z5 + -242y4z3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2z3'.
2y2z3(100z2 + -121y2) = 0

Factor a difference between two squares.
2y2z3((10z + 11y)(10z + -11y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'y2z3' equal to zero and attempt to solve:

Simplifying
y2z3 = 0

Solving
y2z3 = 0

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

Simplifying
y2z3 = 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 '(10z + 11y)' equal to zero and attempt to solve:

Simplifying
10z + 11y = 0

Reorder the terms:
11y + 10z = 0

Solving
11y + 10z = 0

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

Add '-10z' to each side of the equation.
11y + 10z + -10z = 0 + -10z

Combine like terms: 10z + -10z = 0
11y + 0 = 0 + -10z
11y = 0 + -10z
Remove the zero:
11y = -10z

Divide each side by '11'.
y = -0.9090909091z

Simplifying
y = -0.9090909091z

Subproblem 3
Set the factor '(10z + -11y)' equal to zero and attempt to solve:

Simplifying
10z + -11y = 0

Reorder the terms:
-11y + 10z = 0

Solving
-11y + 10z = 0

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

Add '-10z' to each side of the equation.
-11y + 10z + -10z = 0 + -10z

Combine like terms: 10z + -10z = 0
-11y + 0 = 0 + -10z
-11y = 0 + -10z
Remove the zero:
-11y = -10z

Divide each side by '-11'.
y = 0.9090909091z

Simplifying
y = 0.9090909091z
Solution
y = {-0.9090909091z, 0.9090909091z}

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