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Simplifying 20x2 + -24xy = 0 Reorder the terms: -24xy + 20x2 = 0 Solving -24xy + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-6y + 5x) = 0 Ignore the factor 4.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 '(-6y + 5x)' equal to zero and attempt to solve: Simplifying -6y + 5x = 0 Reorder the terms: 5x + -6y = 0 Solving 5x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 5x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 5x + 0 = 0 + 6y 5x = 0 + 6y Remove the zero: 5x = 6y Divide each side by '5'. x = 1.2y Simplifying x = 1.2ySolution
x = {0, 1.2y}
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