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Simplifying 0 = 3x2y + -15xy2 Reorder the terms: 0 = -15xy2 + 3x2y Solving 0 = -15xy2 + 3x2y Solving for variable 'x'. Remove the zero: 15xy2 + -3x2y = -15xy2 + 3x2y + 15xy2 + -3x2y Reorder the terms: 15xy2 + -3x2y = -15xy2 + 15xy2 + 3x2y + -3x2y Combine like terms: -15xy2 + 15xy2 = 0 15xy2 + -3x2y = 0 + 3x2y + -3x2y 15xy2 + -3x2y = 3x2y + -3x2y Combine like terms: 3x2y + -3x2y = 0 15xy2 + -3x2y = 0 Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(5y + -1x) = 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 '(5y + -1x)' equal to zero and attempt to solve: Simplifying 5y + -1x = 0 Reorder the terms: -1x + 5y = 0 Solving -1x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -1x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 0 + -5y -1x = 0 + -5y Remove the zero: -1x = -5y Divide each side by '-1'. x = 5y Simplifying x = 5ySolution
x = {5y}
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