(3xy-2xy)(xy-40)xy=

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Solution for (3xy-2xy)(xy-40)xy= equation:


Simplifying
(3xy + -2xy)(xy + -40) * xy = 0

Combine like terms: 3xy + -2xy = 1xy
(1xy)(xy + -40) * xy = 0

Remove parenthesis around (1xy)
1xy(xy + -40) * xy = 0

Reorder the terms:
1xy(-40 + xy) * xy = 0

Reorder the terms for easier multiplication:
1xy * xy(-40 + xy) = 0

Multiply xy * xy
1x2y2(-40 + xy) = 0
(-40 * 1x2y2 + xy * 1x2y2) = 0
(-40x2y2 + 1x3y3) = 0

Solving
-40x2y2 + 1x3y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y2'.
x2y2(-40 + xy) = 0

Subproblem 1

Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(-40 + xy)' equal to zero and attempt to solve: Simplifying -40 + xy = 0 Solving -40 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + xy = 0 + 40 Combine like terms: -40 + 40 = 0 0 + xy = 0 + 40 xy = 0 + 40 Combine like terms: 0 + 40 = 40 xy = 40 Divide each side by 'y'. x = 40y-1 Simplifying x = 40y-1

Solution

x = {40y-1}

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