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Simplifying 2xy(-5 + 4y + -3xy) = 0 Reorder the terms: 2xy(-5 + -3xy + 4y) = 0 (-5 * 2xy + -3xy * 2xy + 4y * 2xy) = 0 Reorder the terms: (-10xy + 8xy2 + -6x2y2) = 0 (-10xy + 8xy2 + -6x2y2) = 0 Solving -10xy + 8xy2 + -6x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-5 + 4y + -3xy) = 0 Ignore the factor 2.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 '(-5 + 4y + -3xy)' equal to zero and attempt to solve: Simplifying -5 + 4y + -3xy = 0 Reorder the terms: -5 + -3xy + 4y = 0 Solving -5 + -3xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -3xy + 5 + 4y = 0 + 5 Reorder the terms: -5 + 5 + -3xy + 4y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3xy + 4y = 0 + 5 -3xy + 4y = 0 + 5 Combine like terms: 0 + 5 = 5 -3xy + 4y = 5 Add '-4y' to each side of the equation. -3xy + 4y + -4y = 5 + -4y Combine like terms: 4y + -4y = 0 -3xy + 0 = 5 + -4y -3xy = 5 + -4y Divide each side by '-3y'. x = -1.666666667y-1 + 1.333333333 Simplifying x = -1.666666667y-1 + 1.333333333 Reorder the terms: x = 1.333333333 + -1.666666667y-1Solution
x = {1.333333333 + -1.666666667y-1}
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