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Simplifying 18x2y + -15xy2 + -21xy = 0 Reorder the terms: -21xy + -15xy2 + 18x2y = 0 Solving -21xy + -15xy2 + 18x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(-7 + -5y + 6x) = 0 Ignore the factor 3.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 '(-7 + -5y + 6x)' equal to zero and attempt to solve: Simplifying -7 + -5y + 6x = 0 Reorder the terms: -7 + 6x + -5y = 0 Solving -7 + 6x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 6x + 7 + -5y = 0 + 7 Reorder the terms: -7 + 7 + 6x + -5y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6x + -5y = 0 + 7 6x + -5y = 0 + 7 Combine like terms: 0 + 7 = 7 6x + -5y = 7 Add '5y' to each side of the equation. 6x + -5y + 5y = 7 + 5y Combine like terms: -5y + 5y = 0 6x + 0 = 7 + 5y 6x = 7 + 5y Divide each side by '6'. x = 1.166666667 + 0.8333333333y Simplifying x = 1.166666667 + 0.8333333333ySolution
x = {1.166666667 + 0.8333333333y}
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