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Simplifying 3xy + 4xy + 5x2y + 6xy2 = 0 Reorder the terms: 3xy + 4xy + 6xy2 + 5x2y = 0 Combine like terms: 3xy + 4xy = 7xy 7xy + 6xy2 + 5x2y = 0 Solving 7xy + 6xy2 + 5x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(7 + 6y + 5x) = 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 '(7 + 6y + 5x)' equal to zero and attempt to solve: Simplifying 7 + 6y + 5x = 0 Reorder the terms: 7 + 5x + 6y = 0 Solving 7 + 5x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5x + -7 + 6y = 0 + -7 Reorder the terms: 7 + -7 + 5x + 6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x + 6y = 0 + -7 5x + 6y = 0 + -7 Combine like terms: 0 + -7 = -7 5x + 6y = -7 Add '-6y' to each side of the equation. 5x + 6y + -6y = -7 + -6y Combine like terms: 6y + -6y = 0 5x + 0 = -7 + -6y 5x = -7 + -6y Divide each side by '5'. x = -1.4 + -1.2y Simplifying x = -1.4 + -1.2ySolution
x = {-1.4 + -1.2y}
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