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Simplifying 8xy(9x + 8y) = 0 (9x * 8xy + 8y * 8xy) = 0 Reorder the terms: (64xy2 + 72x2y) = 0 (64xy2 + 72x2y) = 0 Solving 64xy2 + 72x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8xy'. 8xy(8y + 9x) = 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 '(8y + 9x)' equal to zero and attempt to solve: Simplifying 8y + 9x = 0 Reorder the terms: 9x + 8y = 0 Solving 9x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 9x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 9x + 0 = 0 + -8y 9x = 0 + -8y Remove the zero: 9x = -8y Divide each side by '9'. x = -0.8888888889y Simplifying x = -0.8888888889ySolution
x = {-0.8888888889y}
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