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Simplifying 5x2 + -9xy + -2x2 = 0 Reorder the terms: -9xy + 5x2 + -2x2 = 0 Combine like terms: 5x2 + -2x2 = 3x2 -9xy + 3x2 = 0 Solving -9xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-3y + x) = 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 + x)' equal to zero and attempt to solve: Simplifying -3y + x = 0 Reorder the terms: x + -3y = 0 Solving x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 0 = 0 + 3y x = 0 + 3y Remove the zero: x = 3y Simplifying x = 3ySolution
x = {0, 3y}
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