27y^3z^6-63y^4z^4-90y^5z^2=

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Solution for 27y^3z^6-63y^4z^4-90y^5z^2= equation: 


Simplifying
27y3z6 + -63y4z4 + -90y5z2 = 0

Solving
27y3z6 + -63y4z4 + -90y5z2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '9y3z2'.
9y3z2(3z4 + -7yz2 + -10y2) = 0

Factor a trinomial.
9y3z2((3z2 + -10y)(z2 + y)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'y3z2' equal to zero and attempt to solve:

Simplifying
y3z2 = 0

Solving
y3z2 = 0

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

Simplifying
y3z2 = 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 '(3z2 + -10y)' equal to zero and attempt to solve:

Simplifying
3z2 + -10y = 0

Reorder the terms:
-10y + 3z2 = 0

Solving
-10y + 3z2 = 0

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

Add '-3z2' to each side of the equation.
-10y + 3z2 + -3z2 = 0 + -3z2

Combine like terms: 3z2 + -3z2 = 0
-10y + 0 = 0 + -3z2
-10y = 0 + -3z2
Remove the zero:
-10y = -3z2

Divide each side by '-10'.
y = 0.3z2

Simplifying
y = 0.3z2

Subproblem 3
Set the factor '(z2 + y)' equal to zero and attempt to solve:

Simplifying
z2 + y = 0

Reorder the terms:
y + z2 = 0

Solving
y + z2 = 0

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

Add '-1z2' to each side of the equation.
y + z2 + -1z2 = 0 + -1z2

Combine like terms: z2 + -1z2 = 0
y + 0 = 0 + -1z2
y = 0 + -1z2
Remove the zero:
y = -1z2

Simplifying
y = -1z2
Solution
y = {0.3z2, -1z2}

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