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Simplifying -4xy(9x + y) = 0 (9x * -4xy + y * -4xy) = 0 Reorder the terms: (-4xy2 + -36x2y) = 0 (-4xy2 + -36x2y) = 0 Solving -4xy2 + -36x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4xy'. -4xy(y + 9x) = 0 Ignore the factor -4.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 '(y + 9x)' equal to zero and attempt to solve: Simplifying y + 9x = 0 Reorder the terms: 9x + y = 0 Solving 9x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 9x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 9x + 0 = 0 + -1y 9x = 0 + -1y Remove the zero: 9x = -1y Divide each side by '9'. x = -0.1111111111y Simplifying x = -0.1111111111ySolution
x = {-0.1111111111y}
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