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Simplifying 0 = 12x2 + -9xy Reorder the terms: 0 = -9xy + 12x2 Solving 0 = -9xy + 12x2 Solving for variable 'x'. Remove the zero: 9xy + -12x2 = -9xy + 12x2 + 9xy + -12x2 Reorder the terms: 9xy + -12x2 = -9xy + 9xy + 12x2 + -12x2 Combine like terms: -9xy + 9xy = 0 9xy + -12x2 = 0 + 12x2 + -12x2 9xy + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 9xy + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(3y + -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 '(3y + -4x)' equal to zero and attempt to solve: Simplifying 3y + -4x = 0 Reorder the terms: -4x + 3y = 0 Solving -4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -4x + 0 = 0 + -3y -4x = 0 + -3y Remove the zero: -4x = -3y Divide each side by '-4'. x = 0.75y Simplifying x = 0.75ySolution
x = {0, 0.75y}
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