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Simplifying 243xy + -12x2 = 0 Solving 243xy + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(81y + -4x) = 0 Ignore the factor 3.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 '(81y + -4x)' equal to zero and attempt to solve: Simplifying 81y + -4x = 0 Reorder the terms: -4x + 81y = 0 Solving -4x + 81y = 0 Move all terms containing x to the left, all other terms to the right. Add '-81y' to each side of the equation. -4x + 81y + -81y = 0 + -81y Combine like terms: 81y + -81y = 0 -4x + 0 = 0 + -81y -4x = 0 + -81y Remove the zero: -4x = -81y Divide each side by '-4'. x = 20.25y Simplifying x = 20.25ySolution
x = {0, 20.25y}
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