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Simplifying 6x2y + 2xy2 + -7xy2 + 6xy = 0 Reorder the terms: 6xy + 2xy2 + -7xy2 + 6x2y = 0 Combine like terms: 2xy2 + -7xy2 = -5xy2 6xy + -5xy2 + 6x2y = 0 Solving 6xy + -5xy2 + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(6 + -5y + 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 '(6 + -5y + 6x)' equal to zero and attempt to solve: Simplifying 6 + -5y + 6x = 0 Reorder the terms: 6 + 6x + -5y = 0 Solving 6 + 6x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6x + -6 + -5y = 0 + -6 Reorder the terms: 6 + -6 + 6x + -5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6x + -5y = 0 + -6 6x + -5y = 0 + -6 Combine like terms: 0 + -6 = -6 6x + -5y = -6 Add '5y' to each side of the equation. 6x + -5y + 5y = -6 + 5y Combine like terms: -5y + 5y = 0 6x + 0 = -6 + 5y 6x = -6 + 5y Divide each side by '6'. x = -1 + 0.8333333333y Simplifying x = -1 + 0.8333333333ySolution
x = {-1 + 0.8333333333y}
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