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Simplifying 24x2 = 9xy Solving 24x2 = 9xy Solving for variable 'x'. Reorder the terms: -9xy + 24x2 = 9xy + -9xy Combine like terms: 9xy + -9xy = 0 -9xy + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-3y + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying -3y + 8x = 0 Reorder the terms: 8x + -3y = 0 Solving 8x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 8x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 8x + 0 = 0 + 3y 8x = 0 + 3y Remove the zero: 8x = 3y Divide each side by '8'. x = 0.375y Simplifying x = 0.375ySolution
x = {0, 0.375y}
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