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Simplifying -6x + 2x(5y + 9) = 0 Reorder the terms: -6x + 2x(9 + 5y) = 0 -6x + (9 * 2x + 5y * 2x) = 0 -6x + (18x + 10xy) = 0 Combine like terms: -6x + 18x = 12x 12x + 10xy = 0 Solving 12x + 10xy = 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), '2x'. 2x(6 + 5y) = 0 Ignore the factor 2.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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