Simplifying 12x5y = 32x6y Solving 12x5y = 32x6y Solving for variable 'x'. Combine like terms: 32x6y + -32x6y = 0 12x5y + -32x6y = 0 Factor out the Greatest Common Factor (GCF), '4x5y'. 4x5y(3 + -8x) = 0 Ignore the factor 4. Subproblem 1Set the factor 'x5y' equal to zero and attempt to solve: Simplifying x5y = 0 Solving x5y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. Subproblem 2Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solutionx = {0.375}