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Simplifying 6x(3 + -2xy) = 0 (3 * 6x + -2xy * 6x) = 0 (18x + -12x2y) = 0 Solving 18x + -12x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(3 + -2xy) = 0 Ignore the factor 6.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 '(3 + -2xy)' equal to zero and attempt to solve: Simplifying 3 + -2xy = 0 Solving 3 + -2xy = 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 + -2xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2xy = 0 + -3 -2xy = 0 + -3 Combine like terms: 0 + -3 = -3 -2xy = -3 Divide each side by '-2y'. x = 1.5y-1 Simplifying x = 1.5y-1Solution
x = {0, 1.5y-1}
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