-5y(6z-10)=

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Solution for -5y(6z-10)= equation: 


Simplifying
-5y(6z + -10) = 0

Reorder the terms:
-5y(-10 + 6z) = 0
(-10 * -5y + 6z * -5y) = 0
(50y + -30yz) = 0

Solving
50y + -30yz = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), '10y'.
10y(5 + -3z) = 0

Ignore the factor 10.

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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(5 + -3z)' equal to zero and attempt to solve:

Simplifying
5 + -3z = 0

Solving
5 + -3z = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3z = 0 + -5
-3z = 0 + -5

Combine like terms: 0 + -5 = -5
-3z = -5

Add '3z' to each side of the equation.
-3z + 3z = -5 + 3z

Combine like terms: -3z + 3z = 0
0 = -5 + 3z

Simplifying
0 = -5 + 3z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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