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Simplifying 2x2 + 5xy + 9x2 = 0 Reorder the terms: 5xy + 2x2 + 9x2 = 0 Combine like terms: 2x2 + 9x2 = 11x2 5xy + 11x2 = 0 Solving 5xy + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5y + 11x) = 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 '(5y + 11x)' equal to zero and attempt to solve: Simplifying 5y + 11x = 0 Reorder the terms: 11x + 5y = 0 Solving 11x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 11x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 11x + 0 = 0 + -5y 11x = 0 + -5y Remove the zero: 11x = -5y Divide each side by '11'. x = -0.4545454545y Simplifying x = -0.4545454545ySolution
x = {0, -0.4545454545y}
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