7xy^2(xy+2xy-3x^2y)=0

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Solution for 7xy^2(xy+2xy-3x^2y)=0 equation:


Simplifying
7xy2(xy + 2xy + -3x2y) = 0

Combine like terms: xy + 2xy = 3xy
7xy2(3xy + -3x2y) = 0
(3xy * 7xy2 + -3x2y * 7xy2) = 0
(21x2y3 + -21x3y3) = 0

Solving
21x2y3 + -21x3y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '21x2y3'.
21x2y3(1 + -1x) = 0

Ignore the factor 21.

Subproblem 1

Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {1}

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