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Simplifying 8x + x + 9x(y + 1) = 0 Reorder the terms: 8x + x + 9x(1 + y) = 0 8x + x + (1 * 9x + y * 9x) = 0 8x + x + (9x + 9xy) = 0 Combine like terms: 8x + x = 9x 9x + 9x + 9xy = 0 Combine like terms: 9x + 9x = 18x 18x + 9xy = 0 Solving 18x + 9xy = 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), '9x'. 9x(2 + y) = 0 Ignore the factor 9.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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Add '-1y' to each side of the equation. y + -1y = -2 + -1y Combine like terms: y + -1y = 0 0 = -2 + -1y Simplifying 0 = -2 + -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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