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Simplifying (6x)(xy + 1) = 0 Remove parenthesis around (6x) 6x(xy + 1) = 0 Reorder the terms: 6x(1 + xy) = 0 (1 * 6x + xy * 6x) = 0 (6x + 6x2y) = 0 Solving 6x + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(1 + xy) = 0 Ignore the factor 6.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 + xy)' equal to zero and attempt to solve: Simplifying 1 + xy = 0 Solving 1 + xy = 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 + xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy = 0 + -1 xy = 0 + -1 Combine like terms: 0 + -1 = -1 xy = -1 Divide each side by 'y'. x = -1y-1 Simplifying x = -1y-1Solution
x = {0, -1y-1}
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