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Simplifying 4xy(6x + 8y) = 0 (6x * 4xy + 8y * 4xy) = 0 Reorder the terms: (32xy2 + 24x2y) = 0 (32xy2 + 24x2y) = 0 Solving 32xy2 + 24x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8xy'. 8xy(4y + 3x) = 0 Ignore the factor 8.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 '(4y + 3x)' equal to zero and attempt to solve: Simplifying 4y + 3x = 0 Reorder the terms: 3x + 4y = 0 Solving 3x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 3x + 0 = 0 + -4y 3x = 0 + -4y Remove the zero: 3x = -4y Divide each side by '3'. x = -1.333333333y Simplifying x = -1.333333333ySolution
x = {-1.333333333y}
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