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Simplifying 3x(2y + 3y + -6) = 0 Reorder the terms: 3x(-6 + 2y + 3y) = 0 Combine like terms: 2y + 3y = 5y 3x(-6 + 5y) = 0 (-6 * 3x + 5y * 3x) = 0 (-18x + 15xy) = 0 Solving -18x + 15xy = 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(-6 + 5y) = 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 '(-6 + 5y)' equal to zero and attempt to solve: Simplifying -6 + 5y = 0 Solving -6 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 0 + 6 5y = 0 + 6 Combine like terms: 0 + 6 = 6 5y = 6 Add '-5y' to each side of the equation. 5y + -5y = 6 + -5y Combine like terms: 5y + -5y = 0 0 = 6 + -5y Simplifying 0 = 6 + -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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