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Simplifying (2x + 3xy + -5) * -3y = 0 Reorder the terms: (-5 + 2x + 3xy) * -3y = 0 Reorder the terms for easier multiplication: -3y(-5 + 2x + 3xy) = 0 (-5 * -3y + 2x * -3y + 3xy * -3y) = 0 Reorder the terms: (-6xy + -9xy2 + 15y) = 0 (-6xy + -9xy2 + 15y) = 0 Solving -6xy + -9xy2 + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. -6xy + -9xy2 + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 -6xy + -9xy2 + 0 = 0 + -15y -6xy + -9xy2 = 0 + -15y Remove the zero: -6xy + -9xy2 = -15y Combine like terms: -15y + 15y = 0 -6xy + -9xy2 + 15y = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(-2x + -3xy + 5) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-2x + -3xy + 5)' equal to zero and attempt to solve: Simplifying -2x + -3xy + 5 = 0 Reorder the terms: 5 + -2x + -3xy = 0 Solving 5 + -2x + -3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -2x + -5 + -3xy = 0 + -5 Reorder the terms: 5 + -5 + -2x + -3xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x + -3xy = 0 + -5 -2x + -3xy = 0 + -5 Combine like terms: 0 + -5 = -5 -2x + -3xy = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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