(10*y*z)*(2*y*z+6)=

Solution for (10*y*z)*(2*y*z+6)= equation:

Simplifying
(10y * z)(2y * z + 6) = 0

Multiply y * z
(10yz)(2y * z + 6) = 0

Remove parenthesis around (10yz)
10yz(2y * z + 6) = 0

Multiply y * z
10yz(2yz + 6) = 0

Reorder the terms:
10yz(6 + 2yz) = 0
(6 * 10yz + 2yz * 10yz) = 0
(60yz + 20y2z2) = 0

Solving
60yz + 20y2z2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '20yz'.
20yz(3 + yz) = 0

Ignore the factor 20.
Subproblem 1
Set the factor 'yz' equal to zero and attempt to solve:

Simplifying
yz = 0

Solving
yz = 0

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

Simplifying
yz = 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 '(3 + yz)' equal to zero and attempt to solve:

Simplifying
3 + yz = 0

Solving
3 + yz = 0

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

Add '-3' to each side of the equation.
3 + -3 + yz = 0 + -3

Combine like terms: 3 + -3 = 0
0 + yz = 0 + -3
yz = 0 + -3

Combine like terms: 0 + -3 = -3
yz = -3

Divide each side by 'z'.
y = -3z-1

Simplifying
y = -3z-1
Solution
y = {-3z-1}