(xy-3z)(4xy+11z)=

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Solution for (xy-3z)(4xy+11z)= equation: 


Simplifying
(xy + -3z)(4xy + 11z) = 0

Multiply (xy + -3z) * (4xy + 11z)
(xy(4xy + 11z) + -3z * (4xy + 11z)) = 0
((4xy * xy + 11z * xy) + -3z * (4xy + 11z)) = 0

Reorder the terms:
((11xyz + 4x2y2) + -3z * (4xy + 11z)) = 0
((11xyz + 4x2y2) + -3z * (4xy + 11z)) = 0
(11xyz + 4x2y2 + (4xy * -3z + 11z * -3z)) = 0
(11xyz + 4x2y2 + (-12xyz + -33z2)) = 0

Reorder the terms:
(11xyz + -12xyz + 4x2y2 + -33z2) = 0

Combine like terms: 11xyz + -12xyz = -1xyz
(-1xyz + 4x2y2 + -33z2) = 0

Solving
-1xyz + 4x2y2 + -33z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(xy + -3z)(4xy + 11z) = 0


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

Simplifying
xy + -3z = 0

Solving
xy + -3z = 0

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

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

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

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

Simplifying
x = 3y-1z

Subproblem 2
Set the factor '(4xy + 11z)' equal to zero and attempt to solve:

Simplifying
4xy + 11z = 0

Solving
4xy + 11z = 0

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

Add '-11z' to each side of the equation.
4xy + 11z + -11z = 0 + -11z

Combine like terms: 11z + -11z = 0
4xy + 0 = 0 + -11z
4xy = 0 + -11z
Remove the zero:
4xy = -11z

Divide each side by '4y'.
x = -2.75y-1z

Simplifying
x = -2.75y-1z
Solution
x = {3y-1z, -2.75y-1z}

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