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Simplifying (5x + 9xy) + -1(2x + 6xy) = 0 Remove parenthesis around (5x + 9xy) 5x + 9xy + -1(2x + 6xy) = 0 5x + 9xy + (2x * -1 + 6xy * -1) = 0 5x + 9xy + (-2x + -6xy) = 0 Reorder the terms: 5x + -2x + 9xy + -6xy = 0 Combine like terms: 5x + -2x = 3x 3x + 9xy + -6xy = 0 Combine like terms: 9xy + -6xy = 3xy 3x + 3xy = 0 Solving 3x + 3xy = 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), '3x'. 3x(1 + y) = 0 Ignore the factor 3.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.Solution
x = {0}
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