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Simplifying 12x2y + 18xy + -6x = 0 Reorder the terms: -6x + 18xy + 12x2y = 0 Solving -6x + 18xy + 12x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-1 + 3y + 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 '(-1 + 3y + 2xy)' equal to zero and attempt to solve: Simplifying -1 + 3y + 2xy = 0 Reorder the terms: -1 + 2xy + 3y = 0 Solving -1 + 2xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2xy + 1 + 3y = 0 + 1 Reorder the terms: -1 + 1 + 2xy + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2xy + 3y = 0 + 1 2xy + 3y = 0 + 1 Combine like terms: 0 + 1 = 1 2xy + 3y = 1 Add '-3y' to each side of the equation. 2xy + 3y + -3y = 1 + -3y Combine like terms: 3y + -3y = 0 2xy + 0 = 1 + -3y 2xy = 1 + -3y Divide each side by '2y'. x = 0.5y-1 + -1.5 Simplifying x = 0.5y-1 + -1.5 Reorder the terms: x = -1.5 + 0.5y-1Solution
x = {0, -1.5 + 0.5y-1}
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