4xy(xy-1)+7xy(xy-3)=

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Solution for 4xy(xy-1)+7xy(xy-3)= equation:


Simplifying
4xy(xy + -1) + 7xy(xy + -3) = 0

Reorder the terms:
4xy(-1 + xy) + 7xy(xy + -3) = 0
(-1 * 4xy + xy * 4xy) + 7xy(xy + -3) = 0
(-4xy + 4x2y2) + 7xy(xy + -3) = 0

Reorder the terms:
-4xy + 4x2y2 + 7xy(-3 + xy) = 0
-4xy + 4x2y2 + (-3 * 7xy + xy * 7xy) = 0
-4xy + 4x2y2 + (-21xy + 7x2y2) = 0

Reorder the terms:
-4xy + -21xy + 4x2y2 + 7x2y2 = 0

Combine like terms: -4xy + -21xy = -25xy
-25xy + 4x2y2 + 7x2y2 = 0

Combine like terms: 4x2y2 + 7x2y2 = 11x2y2
-25xy + 11x2y2 = 0

Solving
-25xy + 11x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-25 + 11xy) = 0

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 '(-25 + 11xy)' equal to zero and attempt to solve: Simplifying -25 + 11xy = 0 Solving -25 + 11xy = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 11xy = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 11xy = 0 + 25 11xy = 0 + 25 Combine like terms: 0 + 25 = 25 11xy = 25 Divide each side by '11y'. x = 2.272727273y-1 Simplifying x = 2.272727273y-1

Solution

x = {2.272727273y-1}

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