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Simplifying (4xy + 4x)(9y + 9) = 0 Reorder the terms: (4x + 4xy)(9y + 9) = 0 Reorder the terms: (4x + 4xy)(9 + 9y) = 0 Multiply (4x + 4xy) * (9 + 9y) (4x * (9 + 9y) + 4xy * (9 + 9y)) = 0 ((9 * 4x + 9y * 4x) + 4xy * (9 + 9y)) = 0 ((36x + 36xy) + 4xy * (9 + 9y)) = 0 (36x + 36xy + (9 * 4xy + 9y * 4xy)) = 0 (36x + 36xy + (36xy + 36xy2)) = 0 Combine like terms: 36xy + 36xy = 72xy (36x + 72xy + 36xy2) = 0 Solving 36x + 72xy + 36xy2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '36x'. 36x(1 + 2y + y2) = 0 Factor a trinomial. 36x((1 + y)(1 + y)) = 0 Ignore the factor 36.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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