3xy(2yz+4xz)=

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Solution for 3xy(2yz+4xz)= equation:


Simplifying
3xy(2yz + 4xz) = 0

Reorder the terms:
3xy(4xz + 2yz) = 0
(4xz * 3xy + 2yz * 3xy) = 0

Reorder the terms:
(6xy2z + 12x2yz) = 0
(6xy2z + 12x2yz) = 0

Solving
6xy2z + 12x2yz = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6xyz'.
6xyz(y + 2x) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'xyz' equal to zero and attempt to solve: Simplifying xyz = 0 Solving xyz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xyz = 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 '(y + 2x)' equal to zero and attempt to solve: Simplifying y + 2x = 0 Reorder the terms: 2x + y = 0 Solving 2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + 0 = 0 + -1y 2x = 0 + -1y Remove the zero: 2x = -1y Divide each side by '2'. x = -0.5y Simplifying x = -0.5y

Solution

x = {-0.5y}

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