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Simplifying (y)(-4xy + 7x + 9) = 0 Reorder the terms: y(9 + 7x + -4xy) = 0 (9 * y + 7x * y + -4xy * y) = 0 Reorder the terms: (7xy + -4xy2 + 9y) = 0 (7xy + -4xy2 + 9y) = 0 Solving 7xy + -4xy2 + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 7xy + -4xy2 + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 7xy + -4xy2 + 0 = 0 + -9y 7xy + -4xy2 = 0 + -9y Remove the zero: 7xy + -4xy2 = -9y Combine like terms: -9y + 9y = 0 7xy + -4xy2 + 9y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(7x + -4xy + 9) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(7x + -4xy + 9)' equal to zero and attempt to solve: Simplifying 7x + -4xy + 9 = 0 Reorder the terms: 9 + 7x + -4xy = 0 Solving 9 + 7x + -4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 7x + -9 + -4xy = 0 + -9 Reorder the terms: 9 + -9 + 7x + -4xy = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7x + -4xy = 0 + -9 7x + -4xy = 0 + -9 Combine like terms: 0 + -9 = -9 7x + -4xy = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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