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Simplifying 6xy(7x + 6y) = 0 (7x * 6xy + 6y * 6xy) = 0 Reorder the terms: (36xy2 + 42x2y) = 0 (36xy2 + 42x2y) = 0 Solving 36xy2 + 42x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy'. 6xy(6y + 7x) = 0 Ignore the factor 6.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 '(6y + 7x)' equal to zero and attempt to solve: Simplifying 6y + 7x = 0 Reorder the terms: 7x + 6y = 0 Solving 7x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 7x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 7x + 0 = 0 + -6y 7x = 0 + -6y Remove the zero: 7x = -6y Divide each side by '7'. x = -0.8571428571y Simplifying x = -0.8571428571ySolution
x = {-0.8571428571y}
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