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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) = 0Subproblem 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-1Solution
x = {2.272727273y-1}
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