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Simplifying 3(2xy + 3x) = 5x Reorder the terms: 3(3x + 2xy) = 5x (3x * 3 + 2xy * 3) = 5x (9x + 6xy) = 5x Solving 9x + 6xy = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9x + -5x + 6xy = 5x + -5x Combine like terms: 9x + -5x = 4x 4x + 6xy = 5x + -5x Combine like terms: 5x + -5x = 0 4x + 6xy = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(2 + 3y) = 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 '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 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 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Add '-3y' to each side of the equation. 3y + -3y = -2 + -3y Combine like terms: 3y + -3y = 0 0 = -2 + -3y Simplifying 0 = -2 + -3y 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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