(x+y-z)(3xy)=

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Solution for (x+y-z)(3xy)= equation:


Simplifying
(x + y + -1z)(3xy) = 0

Remove parenthesis around (3xy)
(x + y + -1z) * 3xy = 0

Reorder the terms for easier multiplication:
3xy(x + y + -1z) = 0
(x * 3xy + y * 3xy + -1z * 3xy) = 0

Reorder the terms:
(-3xyz + 3xy2 + 3x2y) = 0
(-3xyz + 3xy2 + 3x2y) = 0

Solving
-3xyz + 3xy2 + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-1z + y + x) = 0

Ignore the factor 3.

Subproblem 1

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

Solution

x = {-1y + z}

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