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Simplifying 5x2 + 2xy + -7x2 + xy = 0 Reorder the terms: 2xy + xy + 5x2 + -7x2 = 0 Combine like terms: 2xy + xy = 3xy 3xy + 5x2 + -7x2 = 0 Combine like terms: 5x2 + -7x2 = -2x2 3xy + -2x2 = 0 Solving 3xy + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3y + -2x) = 0Subproblem 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 + -2x)' equal to zero and attempt to solve: Simplifying 3y + -2x = 0 Reorder the terms: -2x + 3y = 0 Solving -2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 0 + -3y -2x = 0 + -3y Remove the zero: -2x = -3y Divide each side by '-2'. x = 1.5y Simplifying x = 1.5ySolution
x = {0, 1.5y}
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