(3xy+5z)(3xy+5z)=

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Solution for (3xy+5z)(3xy+5z)= equation: 


Simplifying
(3xy + 5z)(3xy + 5z) = 0

Multiply (3xy + 5z) * (3xy + 5z)
(3xy * (3xy + 5z) + 5z * (3xy + 5z)) = 0
((3xy * 3xy + 5z * 3xy) + 5z * (3xy + 5z)) = 0

Reorder the terms:
((15xyz + 9x2y2) + 5z * (3xy + 5z)) = 0
((15xyz + 9x2y2) + 5z * (3xy + 5z)) = 0
(15xyz + 9x2y2 + (3xy * 5z + 5z * 5z)) = 0
(15xyz + 9x2y2 + (15xyz + 25z2)) = 0

Reorder the terms:
(15xyz + 15xyz + 9x2y2 + 25z2) = 0

Combine like terms: 15xyz + 15xyz = 30xyz
(30xyz + 9x2y2 + 25z2) = 0

Solving
30xyz + 9x2y2 + 25z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3xy + 5z)(3xy + 5z) = 0


Subproblem 1
Set the factor '(3xy + 5z)' equal to zero and attempt to solve:

Simplifying
3xy + 5z = 0

Solving
3xy + 5z = 0

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

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

Combine like terms: 5z + -5z = 0
3xy + 0 = 0 + -5z
3xy = 0 + -5z
Remove the zero:
3xy = -5z

Divide each side by '3y'.
x = -1.666666667y-1z

Simplifying
x = -1.666666667y-1z

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

Simplifying
3xy + 5z = 0

Solving
3xy + 5z = 0

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

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

Combine like terms: 5z + -5z = 0
3xy + 0 = 0 + -5z
3xy = 0 + -5z
Remove the zero:
3xy = -5z

Divide each side by '3y'.
x = -1.666666667y-1z

Simplifying
x = -1.666666667y-1z
Solution
x = {-1.666666667y-1z, -1.666666667y-1z}

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