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Simplifying xy + 5x2 + 3xy = 0 Reorder the terms: xy + 3xy + 5x2 = 0 Combine like terms: xy + 3xy = 4xy 4xy + 5x2 = 0 Solving 4xy + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4y + 5x) = 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 '(4y + 5x)' equal to zero and attempt to solve: Simplifying 4y + 5x = 0 Reorder the terms: 5x + 4y = 0 Solving 5x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 5x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 5x + 0 = 0 + -4y 5x = 0 + -4y Remove the zero: 5x = -4y Divide each side by '5'. x = -0.8y Simplifying x = -0.8ySolution
x = {0, -0.8y}
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