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Simplifying 4xy(5y + 3xy) = 0 Reorder the terms: 4xy(3xy + 5y) = 0 (3xy * 4xy + 5y * 4xy) = 0 Reorder the terms: (20xy2 + 12x2y2) = 0 (20xy2 + 12x2y2) = 0 Solving 20xy2 + 12x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy2'. 4xy2(5 + 3x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {-1.666666667}
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