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Simplifying -3x2y + (5xy2 + xy) = 0 Reorder the terms: -3x2y + (xy + 5xy2) = 0 Remove parenthesis around (xy + 5xy2) -3x2y + xy + 5xy2 = 0 Reorder the terms: xy + 5xy2 + -3x2y = 0 Solving xy + 5xy2 + -3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(1 + 5y + -3x) = 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 '(1 + 5y + -3x)' equal to zero and attempt to solve: Simplifying 1 + 5y + -3x = 0 Reorder the terms: 1 + -3x + 5y = 0 Solving 1 + -3x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3x + -1 + 5y = 0 + -1 Reorder the terms: 1 + -1 + -3x + 5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x + 5y = 0 + -1 -3x + 5y = 0 + -1 Combine like terms: 0 + -1 = -1 -3x + 5y = -1 Add '-5y' to each side of the equation. -3x + 5y + -5y = -1 + -5y Combine like terms: 5y + -5y = 0 -3x + 0 = -1 + -5y -3x = -1 + -5y Divide each side by '-3'. x = 0.3333333333 + 1.666666667y Simplifying x = 0.3333333333 + 1.666666667ySolution
x = {0.3333333333 + 1.666666667y}
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