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Simplifying 4x2y + -6xy2 + 5xy = 0 Reorder the terms: 5xy + -6xy2 + 4x2y = 0 Solving 5xy + -6xy2 + 4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(5 + -6y + 4x) = 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 '(5 + -6y + 4x)' equal to zero and attempt to solve: Simplifying 5 + -6y + 4x = 0 Reorder the terms: 5 + 4x + -6y = 0 Solving 5 + 4x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4x + -5 + -6y = 0 + -5 Reorder the terms: 5 + -5 + 4x + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x + -6y = 0 + -5 4x + -6y = 0 + -5 Combine like terms: 0 + -5 = -5 4x + -6y = -5 Add '6y' to each side of the equation. 4x + -6y + 6y = -5 + 6y Combine like terms: -6y + 6y = 0 4x + 0 = -5 + 6y 4x = -5 + 6y Divide each side by '4'. x = -1.25 + 1.5y Simplifying x = -1.25 + 1.5ySolution
x = {-1.25 + 1.5y}
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