5y(y+8z)=

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Solution for 5y(y+8z)= equation: 


Simplifying
5y(y + 8z) = 0
(y * 5y + 8z * 5y) = 0

Reorder the terms:
(40yz + 5y2) = 0
(40yz + 5y2) = 0

Solving
40yz + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(8z + y) = 0

Ignore the factor 5.

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 '(8z + y)' equal to zero and attempt to solve:

Simplifying
8z + y = 0

Reorder the terms:
y + 8z = 0

Solving
y + 8z = 0

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

Add '-8z' to each side of the equation.
y + 8z + -8z = 0 + -8z

Combine like terms: 8z + -8z = 0
y + 0 = 0 + -8z
y = 0 + -8z
Remove the zero:
y = -8z

Simplifying
y = -8z
Solution
y = {0, -8z}

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