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Simplifying 2(3x + 3(-10xy + 3x)) = 0 Reorder the terms: 2(3x + 3(3x + -10xy)) = 0 2(3x + (3x * 3 + -10xy * 3)) = 0 2(3x + (9x + -30xy)) = 0 Combine like terms: 3x + 9x = 12x 2(12x + -30xy) = 0 (12x * 2 + -30xy * 2) = 0 (24x + -60xy) = 0 Solving 24x + -60xy = 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), '12x'. 12x(2 + -5y) = 0 Ignore the factor 12.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 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 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 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Add '5y' to each side of the equation. -5y + 5y = -2 + 5y Combine like terms: -5y + 5y = 0 0 = -2 + 5y Simplifying 0 = -2 + 5y 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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