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Simplifying 3xy(4x + -5xy + 2z) = 0 (4x * 3xy + -5xy * 3xy + 2z * 3xy) = 0 Reorder the terms: (6xyz + 12x2y + -15x2y2) = 0 (6xyz + 12x2y + -15x2y2) = 0 Solving 6xyz + 12x2y + -15x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(2z + 4x + -5xy) = 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 '(2z + 4x + -5xy)' equal to zero and attempt to solve: Simplifying 2z + 4x + -5xy = 0 Reorder the terms: 4x + -5xy + 2z = 0 Solving 4x + -5xy + 2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2z' to each side of the equation. 4x + -5xy + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 4x + -5xy + 0 = 0 + -2z 4x + -5xy = 0 + -2z Remove the zero: 4x + -5xy = -2z 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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