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Simplifying -3(2x + -1xy + 3y) + -11xy = 0 (2x * -3 + -1xy * -3 + 3y * -3) + -11xy = 0 (-6x + 3xy + -9y) + -11xy = 0 Reorder the terms: -6x + 3xy + -11xy + -9y = 0 Combine like terms: 3xy + -11xy = -8xy -6x + -8xy + -9y = 0 Solving -6x + -8xy + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. -6x + -8xy + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 -6x + -8xy + 0 = 0 + 9y -6x + -8xy = 0 + 9y Remove the zero: -6x + -8xy = 9y Combine like terms: 9y + -9y = 0 -6x + -8xy + -9y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6x + 8xy + 9y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6x + 8xy + 9y)' equal to zero and attempt to solve: Simplifying 6x + 8xy + 9y = 0 Solving 6x + 8xy + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 6x + 8xy + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 6x + 8xy + 0 = 0 + -9y 6x + 8xy = 0 + -9y Remove the zero: 6x + 8xy = -9y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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