(5y^2z^3-2z^5)(-6y^6z)=

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Solution for (5y^2z^3-2z^5)(-6y^6z)= equation: 


Simplifying
(5y2z3 + -2z5)(-6y6z) = 0

Remove parenthesis around (-6y6z)
(5y2z3 + -2z5) * -6y6z = 0

Reorder the terms for easier multiplication:
-6y6z(5y2z3 + -2z5) = 0
(5y2z3 * -6y6z + -2z5 * -6y6z) = 0

Reorder the terms:
(12y6z6 + -30y8z4) = 0
(12y6z6 + -30y8z4) = 0

Solving
12y6z6 + -30y8z4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y6z4'.
6y6z4(2z2 + -5y2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'y6z4' equal to zero and attempt to solve:

Simplifying
y6z4 = 0

Solving
y6z4 = 0

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

Simplifying
y6z4 = 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 '(2z2 + -5y2)' equal to zero and attempt to solve:

Simplifying
2z2 + -5y2 = 0

Reorder the terms:
-5y2 + 2z2 = 0

Solving
-5y2 + 2z2 = 0

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

Add '-2z2' to each side of the equation.
-5y2 + 2z2 + -2z2 = 0 + -2z2

Combine like terms: 2z2 + -2z2 = 0
-5y2 + 0 = 0 + -2z2
-5y2 = 0 + -2z2
Remove the zero:
-5y2 = -2z2

Divide each side by '-5'.
y2 = 0.4z2

Simplifying
y2 = 0.4z2

Take the square root of each side:
y = {-0.632455532z, 0.632455532z}
Solution
y = {-0.632455532z, 0.632455532z}

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