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Simplifying (6x + 8y + -9)(-1xy) = 0 Reorder the terms: (-9 + 6x + 8y)(-1xy) = 0 Remove parenthesis around (-1xy) (-9 + 6x + 8y) * -1xy = 0 Reorder the terms for easier multiplication: -1xy(-9 + 6x + 8y) = 0 (-9 * -1xy + 6x * -1xy + 8y * -1xy) = 0 Reorder the terms: (9xy + -8xy2 + -6x2y) = 0 (9xy + -8xy2 + -6x2y) = 0 Solving 9xy + -8xy2 + -6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(9 + -8y + -6x) = 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 '(9 + -8y + -6x)' equal to zero and attempt to solve: Simplifying 9 + -8y + -6x = 0 Reorder the terms: 9 + -6x + -8y = 0 Solving 9 + -6x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -6x + -9 + -8y = 0 + -9 Reorder the terms: 9 + -9 + -6x + -8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -6x + -8y = 0 + -9 -6x + -8y = 0 + -9 Combine like terms: 0 + -9 = -9 -6x + -8y = -9 Add '8y' to each side of the equation. -6x + -8y + 8y = -9 + 8y Combine like terms: -8y + 8y = 0 -6x + 0 = -9 + 8y -6x = -9 + 8y Divide each side by '-6'. x = 1.5 + -1.333333333y Simplifying x = 1.5 + -1.333333333ySolution
x = {1.5 + -1.333333333y}
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