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Simplifying 3xy(7x + 4y) = 0 (7x * 3xy + 4y * 3xy) = 0 Reorder the terms: (12xy2 + 21x2y) = 0 (12xy2 + 21x2y) = 0 Solving 12xy2 + 21x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(4y + 7x) = 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 '(4y + 7x)' equal to zero and attempt to solve: Simplifying 4y + 7x = 0 Reorder the terms: 7x + 4y = 0 Solving 7x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 7x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 7x + 0 = 0 + -4y 7x = 0 + -4y Remove the zero: 7x = -4y Divide each side by '7'. x = -0.5714285714y Simplifying x = -0.5714285714ySolution
x = {-0.5714285714y}
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