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Simplifying -3y(5xy + 2x) = 0 Reorder the terms: -3y(2x + 5xy) = 0 (2x * -3y + 5xy * -3y) = 0 (-6xy + -15xy2) = 0 Solving -6xy + -15xy2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-3xy'. -3xy(2 + 5y) = 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 '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Add '-5y' to each side of the equation. 5y + -5y = -2 + -5y Combine like terms: 5y + -5y = 0 0 = -2 + -5y Simplifying 0 = -2 + -5y 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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